LINES AND ANGLES | Part -2 | Class 6 MATHS | Ganita Prakash | New NCERT 2026-27

[00:00:00]Bismillahi Rahmani Rahim Hey Gayas Welcome back to my channel that is Still Elana I hope you all are well.

[00:00:06]Doing great, okay, so let's come.

[00:00:10]Sixth Class Mathematics Second Chapter That's what we started, isn't it?

[00:00:14]Lines and Angles Okay Part One That's what we saw in the introduction.

[00:00:19]2.1 2.2 2.3 2.4 And Figure It Out 2.1 We have seen all the questions. So this This is the continuation of the video, okay so.

[00:00:29]This is the part of the second chapter so Guys in this video we are going to Talk about 2.5 angles okay so guys Now let's discuss angles.

[00:00:39]We are going to do it. So here I start this.

[00:00:42]Before you do anything, just a brief.

[00:00:44]I will give an explanation of the angles.

[00:00:46]Okay, I'm actually starting.

[00:00:49]You will learn angles in the introduction class itself.

[00:00:52]About the idea as a light I gave it. Once again I tell you I am giving it another go for revision. So Guys angle is what we always form It will be said that the angle is formed.

[00:01:02]When two lines are joined, okay, so we have two.

[00:01:05]We only get it when lines are joined.

[00:01:07]The angle will be farmed. Sapoja here is a The line is okay, so this is the line okay too.

[00:01:13]If I draw separate lines, it's an angle for me.

[00:01:15]Will it be a farm or not? No matter how many I have I'll put it like this so I don't touch the lines.

[00:01:20]I don't like angle form. Also single Even with a line, angle is form for me.

[00:01:25]It won't work. So I want to become an angle farm.

[00:01:28]That means two lines are particularly important to me.

[00:01:31]So those two lines are joined.

[00:01:34]Okay, so you can join this way too.

[00:01:36]You can join this way, okay?

[00:01:39]You can join either way, but... Lines are guaranteed to join.

[00:01:44]It should be. So this is after joining.

[00:01:47]We get an angle here.

[00:01:49]Angle here is an angle this is an angle Do you understand? So this is on an angle.

[00:01:54]So this is how the angle should be formed.

[00:01:57]Should have compulsory two lines okay so Now it's clear to you what an angle is.

[00:02:02]Now let's go through the definition.

[00:02:05]Let's understand about angle. So What is the definition of Young On?

[00:02:09]Young Isfahad But Race Having A Common See the straight point, it's not a young one.

[00:02:16]Famous Venta Race Having the Common Straight We have a common street for point two races.

[00:02:23]If there is a point, then we have an angle.

[00:02:26]It will be. So here is the definition, isn't it clear?

[00:02:28]Look, let me show you an example. This is The two races are so similar that one race is called Sobidi.

[00:02:33]I took a ray called be. I took this.

[00:02:36]I joined the two races at this point.

[00:02:38]I'm doing okay, I'll leave this point.

[00:02:41]And BE Ray is how I join.

[00:02:44]I did it. So after joining like this, here If you have observed well, these two What is the common point of the race?

[00:02:50]The point comes. So we take this point What do you mean by vortex? Okay, so two.

[00:02:56]The Common Joining Point of Race Is there a joining point?

[00:03:00]Starting point is this starting We call the point a vertex, okay, so this What do you mean by race? This is the arms.

[00:03:08]Of arms of an angle so angle Let's call it arms, okay witch?

[00:03:12]Arbadi is the arm of an yangle and b It is also called the arm of a young man.

[00:03:18]It's clear here, so look again.

[00:03:20]I'm telling you once, here is BD Ray and BE.

[00:03:23]Ray is two races, I took these two races.

[00:03:26]See the common point here.

[00:03:28]If we observe, what do we have in common?

[00:03:31]It is common that it means that Starting point for both the races is this one.

[00:03:35]The starting point for the race is Annama.

[00:03:38]Okay so this is what we call a vortex.

[00:03:41]Andbadi is the arm of the angel Andbi It is also called the Arm of the Younger.

[00:03:47]Okay, so this is all clear.

[00:03:50]How we read means Even if it's an angle, it's still an angle.

[00:03:56]Even if it's B, it can be said that R is an angle.

[00:03:58]Deb However, it can be said that otherwise, Angle is a school.

[00:04:04]You can say it anyway. So here you are.

[00:04:05]If you see, I'm here in DB.

[00:04:09]In EBD, I am the middle term.

[00:04:12]I am using it as a middle term.

[00:04:15]I am using. Then we can do this.

[00:04:17]Can we say angle? Does that make sense?

[00:04:20]We get a vortex, right?

[00:04:23]The point called the vertex is always Should come in the middle okay where are we?

[00:04:29]At what point does an angle form?

[00:04:32]If we have an angle, it will form The point is reached and we have it in the middle.

[00:04:37]You should look like you came, even if it's like this.

[00:04:39]Take it like this, take it and see.

[00:04:42]Let's say the angle is R Els eBadi.

[00:04:45]Let's call this an angle. Do you understand?

[00:04:48]So I want you to understand that Look at the letter R in the sentences. Sobi is Called the Vortex of an Angle. EB We call the point the vertex of the angle.

[00:04:58]We will tell you. Okay and here are the two.

[00:05:01]Racebuddy is one ray and B is two ray okay There are two races. We will race these two.

[00:05:07]What does the angle of the sorry arm mean?

[00:05:10]An angle is an arm of an angle.

[00:05:13]Angle be is am of an angle okay Next, look at the angle now.

[00:05:19]If we want to read this is the Yangle DBE DBE OK ANGLE DBE ANTAMS OR ELSE Angle EBD Angle EBD Let's say okay and It is written as an angle DBE or else Angle EBD means we are coming to the angle What symbol do we use to write this symbol?

[00:05:44]So you always have to remember, young man.

[00:05:46]Should be written as this symbol okay so How to adjust angle dB [throat adjustment] Look at this angle in the place where we write.

[00:05:54]How to symbolize DB R Els I put this symbol in the angle place.

[00:05:59]EBD Clear OK See Next Note I wrote it here, I said it, right?

[00:06:05]Always written in the middle while naming The Angle is always but we are the Angle We will give it to you, right? We will read the angle.

[00:06:14]What should we remember when doing Vertex is a joining point.

[00:06:19]This point is the middle for us, isn't it?

[00:06:21]You should make sure it arrives in. So look.

[00:06:23]Angle dbe Angle Ebadi, do you understand, guys?

[00:06:28]Okay now look here Young is Roughed to Which symbol is the same angle as the one with which symbol?

[00:06:34]This symbol means "refer" and that's it.

[00:06:37]It is written here, it is clear here.

[00:06:39]Okay guys, so we have three.

[00:06:43]There are pictures, okay, I will draw.

[00:06:45]I'll do it. See.

[00:06:53]I have three pictures here.

[00:06:57]Angle is a form, okay, so guys.

[00:07:00]This is figure one. There are three figures.

[00:07:02]This is figure one, this is figure three, now I have a question for you here.

[00:07:07]I am asking. So which of these three pictures The size of the angle is large so The witch figure has the highest angle.

[00:07:15]What would you say if I told you? Of course you This is [Clearing throat] It's called The Bigger Figure. Do you understand?

[00:07:21]Figure 3 We have the highest angle They say it's okay when compared to this.

[00:07:27]So, in these three figures, we have this one.

[00:07:30]The angle itself looks big.

[00:07:32]That's what they said, okay, your point.

[00:07:34]This is correct, okay now my question is Here I have drawn three pairs of figures.

[00:07:46]Okay, what size is this three-pair of figures?

[00:07:49]Off the Angle is big.

[00:07:50]Tell me, so I suppose, look here, this one, this one.

[00:07:53]I'm making an angle.

[00:07:59]Okay, so now these three pairs of figures In what size of the angle do you say?

[00:08:05]Of course, it means there is a big one.

[00:08:06]What do you say? Come here and do this.

[00:08:10]It is said to be big, but this is what comes out of it.

[00:08:12]It is said to be big, but this is what comes out of it.

[00:08:13]It is called big. Why are you so big?

[00:08:16]Looking at the size of the figure, okay?

[00:08:19]You are the size of the angle is large.

[00:08:21]They are saying. No guys, it is.

[00:08:23]Wrong so here if you see the angle This is the form of the word "ok" These are the angles that occur. So this is the Arms off on angle okay arms off Angle is okay, this is also an arm of angle.

[00:08:36]Arm of Angle as well as here it is Arm of angle This is also arm of Angle So you come and take these arms off This is a big one from an angle.

[00:08:52]Here we have the angle as a large They say it will come. But you are clear.

[00:08:56]Look, guys, let go of these arms.

[00:08:58]Now these two figures seem the same to us.

[00:09:00]It looks okay, so the two figures are the same.

[00:09:04]It is as if the angles are the same for us.

[00:09:06]There is. Only compare this figure here.

[00:09:08]If so, here are the arms of this Angles are big. If you want I can take it even bigger. But The angle remains the same for me, right?

[00:09:17]Do you understand that here too, in these two figures?

[00:09:20]Look, if I cut this, Now these two figures are the same to me.

[00:09:25]So, the angle is in both.

[00:09:27]The angle is the same. Okay, so you.

[00:09:31]Have to say the angle not the length of the Arms are okay, this length of these arms.

[00:09:37]Looking at the length, I thought, "Isn't this big?"

[00:09:40]I get the angle here the most.

[00:09:42]That shouldn't be said. Do you understand, guys?

[00:09:45]Guys, the next topic is the same.

[00:09:47]See here the size of the angle so size The size of the angle is OK.

[00:09:54]So we are talking about the size of this angle.

[00:09:57]We are talking now. So this angle How can we observe the size of this How open is the angle?

[00:10:05]So how many turns did it take? Okay, here.

[00:10:08]How many turns have you taken so far? Okay.

[00:10:11]We can see how open it is.

[00:10:15]We can tell the size of the angle. So suppose Look here, it's a little open here.

[00:10:19]I did it. So look at the ah supose here I'm just showing an example.

[00:10:24]When you open me up, I'll give you an angle.

[00:10:27]How much form will it take? It has become so form.

[00:10:29]Okay, it's a very small farm. That's me.

[00:10:32]If you open it a little more, I'll have a little more.

[00:10:35]A large angle is a form. Okay If I open it a little more, I'll have more.

[00:10:40]The large angle is the form here.

[00:10:42]Do you understand in the middle, guys? So, this What can we say about how much we We will probably open two lines.

[00:10:50]How much we open is up to us.

[00:10:52]It's okay if it comes that big.

[00:10:56]We can say this openly.

[00:10:57]Otherwise, what a turn it took here.

[00:11:00]So how many turns has it taken so far?

[00:11:03]That tells us the size of the angle.

[00:11:05]It says so guys look here I wrote. The Definition of Size of the The size of the angle depends on the angle.

[00:11:13]On How Much It Opens Okay How Much It Are you getting my point guys?

[00:11:19]Okay, let's look at this length of the arms.

[00:11:21]Don't say okay, these are the arms of Yngling Arms of Yngling Arms of the Angle This is the vortex this How far from the vertex do we get the figure?

[00:11:37]If we keep opening, we'll have that angle.

[00:11:39]It keeps on taking shape. Now Cleara size of the angle means this We call it a turn, even if it's just a turn.

[00:11:47]You can say open or you can say R.

[00:11:49]Else, you can say rotation, okay again.

[00:11:51]Let me tell you once, look here, here, here.

[00:11:54]I am drawing a figure.

[00:12:00]So how many turns does it take to turn this?

[00:12:03]Let's say okay, how many turns does it take?

[00:12:05]How much does the RLs open and how much do they rotate?

[00:12:09]As time goes by, our size increases.

[00:12:12]Okay, I'll go, I guess I'll come here.

[00:12:15]I suppose I opened it up a little more.

[00:12:17]Guess it's my turn now.

[00:12:19]It's increased for me, okay here.

[00:12:22]From here to here, this angle is supposed to be I'm just a little bit more open.

[00:12:28]I think I did it, now look at the size of it.

[00:12:29]The Angle is too much for me, so much so.

[00:12:32]I feel like I'm opening it.

[00:12:35]The angle keeps increasing so So this is what I'm trying to do.

[00:12:39]Explain you okay okay so size of the Yangle Depends on How Much It Opens It shows the size of the angle, okay, clear.

[00:12:48]Okay guys, so here's the screen for us.

[00:12:51]Show me on Vidya Has.

[00:12:54]Just open her book and let us observe.

[00:12:56]How to Open the Cover of the Book In different scenarios, okay, so what is education?

[00:13:04]A girl came and took the book.

[00:13:06]Usa Any Angels Being Made In Each Of This case can mark your arms.

[00:13:12]And Vertex So Guys Here is Education What does it mean that the girl opened the book?

[00:13:18]It's the first time that it's opened like this.

[00:13:21]Opened a little, then a little more.

[00:13:23]She opened up more that way.

[00:13:25]In six cases we have Different Types of Different Scenarios It showed how the book Opened at different angles So what is our question here?

[00:13:36]Asking means you are open to her.

[00:13:38]When you observe the angles Are you doing this in each and every case?

[00:13:43]They say that. And at the same time What are you asking us? Can you? Can you?

[00:13:48]Mark the arms and vertex of the Education is what young people are seeing being made of.

[00:13:53]They are telling us. Okay, so first for this.

[00:13:55]Write the answer Do you see angels?

[00:13:58]Being Made in Each of These Cases That is, S on Young is famous in Allsix Cases When the Book is Opened Can you mark it after writing it?

[00:14:09]Arms and Vertex means so arm Write The Two Arms Are the Book Cover and The bottom part of the book is okay then.

[00:14:18]What should we write under the vertex?

[00:14:20]The binding of the book where the cover is Attached Is the vortex okay so the vortex is coming?

[00:14:27]We get the binding of the book and Arms come back book cover and the bottom Part means bottom page of the book It will come. Okay, so the understudy guys.

[00:14:36]What are you asking us to do next here, Witch?

[00:14:39]The angle is greater, okay, what angle do we have?

[00:14:41]Tell us in which case it is greater.

[00:14:44]Which angle is greater?

[00:14:46]Asking. So it's easy for us.

[00:14:48]Let's just say that here we are in a case.

[00:14:50]The angle that came in 2 is greater.

[00:14:53]That's one angle, that's another angle.

[00:14:55]This is greater than case 2, so we have It's going to be so we open it.

[00:15:01]Book More and More the Young Becomes Bigger and bigger okay so this is the answer So guys, look at the next one.

[00:15:09]The Picks of Spectacles Valet and Identifying Other Common Objects Young people in their own way are marking at the Arms and Vertices So here we have What do you mean, here are some things we need to know?

[00:15:21]Pictures are given like so this is The spectacles are okay, this is the wallet.

[00:15:27]They also gave me a stapler, so this is it.

[00:15:29]Is the stapler okay and the box is with us?

[00:15:32]No, so we'll take this as a box.

[00:15:34]Okay, so we have some objects like this.

[00:15:36]Given. So what I'm saying here is this We find the angle in the object.

[00:15:42]What to do. Okay, so let's see the first suggestion.

[00:15:44]I am now wearing spectacles.

[00:15:45]I'm taking it. I am the one who wears spectacles.

[00:15:47]It means open. So after opening Look, I'm open.

[00:15:52]Spectacles are okay on angle is famous.

[00:15:56]Okay, so from here to here, I'll Angle has become a form. So this is it.

[00:16:01]Young made by the spectacles and this One and this one these two are the arms Of these spectacles this is the youth Made by It and This One Is Called The Do you understand the vortex now?

[00:16:14]I took the wallet. So I have the wallet.

[00:16:17]I opened it like this, so look after opening it.

[00:16:20]After opening it like this, I got here.

[00:16:23]Angle is a form, okay so this.

[00:16:25]Is the angle made by the wallet okay so This is the angle so I'm a little open.

[00:16:30]I did it so I got a small angle.

[00:16:32]If I open this this much, I will get this much If you open the large angle a little more A slightly larger angle is coming.

[00:16:39]How many turns do I take, how many do I take?

[00:16:42]It's so big for me that I keep opening it.

[00:16:44]Angle becomes form. Understood Okay, next up, we have a stapler.

[00:16:49]There is. Okay, this stapler is close.

[00:16:51]There is. So after opening this stapler I got this angle. So this is it.

[00:16:56]Angle made by the stapler, okay, this too.

[00:16:59]Are the arms of the stapler okay and This is the vertex point, okay?

[00:17:04]We call the point a vertex. Okay, I guess.

[00:17:06]If I open these stops a little more, Angle is a bit big for me.

[00:17:11]Comes. If you open it a little more A little bigger one comes and it's still open.

[00:17:15]If you do it, it will be a little bigger, means How much we turn the arms okay we are How do we open our arms?

[00:17:22]The bigger the angle, the better.

[00:17:25]It will be. So that's it for this box too.

[00:17:26]That's it. Suppose this box is closed.

[00:17:29]Now I will open this box.

[00:17:30]For me, angle is form.

[00:17:33]Okay, here's the solution, if you open it a little more.

[00:17:35]A little more will come, okay, a little more.

[00:17:38]If you open it, you'll get a little more.

[00:17:40]Okay, does that make sense? So let's say it like this.

[00:17:42]Okay, it's clear now, okay with you?

[00:17:45]How much do we spend opening one?

[00:17:47]Let's go, we have such big angles.

[00:17:50]It will be a farm. So now we have next.

[00:17:52]Figure it out 2.2 when the topic comes up. Okay.

[00:17:56]In 2.2, we were given some questions.

[00:17:58]Let's solve each and every question guys.

[00:18:00]Okay, can you find the angels in the Given Pictures Draw the Race Farming Anywhere One of the angles and name the vertex Off the angle so here we have four Pictures were given. In these four pictures We just need to find the angles.

[00:18:16]The angle is found and the angle of that angle is We also need to name the vertex.

[00:18:21]Let's see if these guys are on bicycles.

[00:18:23]They've already made me an angle.

[00:18:25]Here is the angle BCD.

[00:18:27]I'm taking it, just like that, on a wooden box.

[00:18:29]How do I angle?

[00:18:31]See that Q is a Q vertex.

[00:18:34]Come to the nearest ladder and say "mn queue" I am drawing an angle A at the vertex.

[00:18:40]The ABC that came on the near and bridges I'm putting an angle, the vertex is coming.

[00:18:45]Okay, I'll answer you now.

[00:18:47]I will show you. So let's see the answer for These guys are on that bicycle, so we We drew an angle, right?

[00:18:53]How can we tell the angle?

[00:18:55]Anglebusid You could say. Sobi is the middle point.

[00:19:00]Because of So the angle called anglebusidi is what we need.

[00:19:05]It will be a farm.

[00:19:08]So guys in the bicycle, okay, on the bicycle.

[00:19:10]At what point do we have an angle?

[00:19:12]It's a farm near the point.

[00:19:14]Means Mandasi is to be taken in the middle.

[00:19:17]So angleBCD is the angle made by Okay, what about the arms here?

[00:19:22]Okay, so we have this vortex here.

[00:19:25]Here the vortex is here.

[00:19:28]Since it is not mentioned, only the vertex is Chumpiala Okay Here Vortex is Next One wooden box in a wooden box If we look, we can see that Let's do the form okay where is the vertex?

[00:19:41]In the next ladder, we have angle mn.

[00:19:44]Okay, we took the angle.

[00:19:47]n is the vertex of the ladder next The angle of the bridge is abbusi form.

[00:19:53]Chesamu Verbi is the vortex okay guys So this is the first one answer okay now Let's move on to the next question guys.

[00:20:00]Next question, let's see what we have. Draw.

[00:20:03]And label on Young with Arms.

[00:20:06]And SR So in our second question If you have observed well, here Come on, we have to draw an angle.

[00:20:14]What to do by Using the Arms here We were given arms by the ST and SR OKST SR Arms is If you look here, you will see that which is the Common point here So guys, what do we have for the second question here?

[00:20:29]What they are saying is that we have arms.

[00:20:31]So this is what SC and SR are given.

[00:20:34]We observe the arms and the angle.

[00:20:37]So guys, you're welcome here.

[00:20:39]If you notice, here we have easy here we have here What do we have in common? What do we have in common?

[00:20:45]Common sense means we The vortex comes, okay, this is where we are.

[00:20:49]Angle becomes form. So here See the answer, so what are our arms?

[00:20:54]Given st and sr is our arms Gave means to race Gave s From to to is one and so on.

[00:21:03]So we had something in common in these two.

[00:21:06]So this is the starting point.

[00:21:08]Of both the races means here for us Angle has become a form. Do you understand?

[00:21:13]Guys, look at what I wrote, From the Given.

[00:21:16]Arms st and s are okay s is the common Endpoint OK Common Endpoint Wear We are the ones who We call it the Vortex Arms.

[00:21:29]AndSR is the name of the weapon that came to the witch.

[00:21:32]Means Race OK Angle Means Angle A We denote the angle tSR as Even if R Els is young R.S.

[00:21:41]You can say it, but you should remember that.

[00:21:43]ss should come in the middle okay ss is Do you understand that we should come in the middle?

[00:21:49]You can say it's an angle tsr.

[00:21:51]Even if it's Young RST, you can say RLS.

[00:21:54]What can we say, simply?

[00:21:57]We can also say that the angle is s because Here it is also referred to with the angle of ss.

[00:22:02]Can be done. Okay, to put it in a simple way.

[00:22:05]You can also say angle s. Okay next.

[00:22:07]See the question for explanation why is it so important?

[00:22:11]Can't be labeled as a guy.

[00:22:14]Here we have a picture, so take a look.

[00:22:17]This is the picture given here by Okethry.

[00:22:20]The race was given as common to the three races.

[00:22:23]What is the endpoint? We have a point called P.

[00:22:26]There is. So here we have the question What do you mean by explain YAC?

[00:22:32]Can't be labeled as angle.

[00:22:34]They say. So here you observe.

[00:22:35]If we do this, how many angles will we form?

[00:22:37]What's happening here, look here, okay?

[00:22:40]So this is an angle from here.

[00:22:44]In the form we get an angle.

[00:22:47]Next Angle AC If you have taken it, then it's okay.

[00:22:51]If we take this angle, we get It will be a farm. If not, I'll do this.

[00:22:57]JustPubic OKBPC If I take this angle, it is the form It means I am totally me.

[00:23:05]Separate means separate, three to me.

[00:23:07]Angles are the form of this picture.

[00:23:10]This angle became the form when taken When taken like this, this angle form I am not complete.

[00:23:16]This angle is the form to take.

[00:23:18]It's done. Okay, so here's the question.

[00:23:19]What do you mean?

[00:23:22]This is an angle AC, right?

[00:23:26]Why don't we say angle?

[00:23:30]The question is, look at this.

[00:23:32]If you're single, that's okay. If you're single, that's okay.

[00:23:35]Two races joining at one point like this We can do this even if the angle s is You can say it's okay, even if it's an angle S.

[00:23:43]It can be said that otherwise the angle is tsr.

[00:23:46]Can you tell me about Angles?

[00:23:48]AngleRSA can be said to be angle Even TSR can say that here we have Two Angles More Than One Angle Farm It will be. Look how many angles there are here.

[00:23:56]The form is only one angle form.

[00:23:58]It's the same here, if it's here, we have more than that.

[00:24:01]One angle will be formed. Therefore Here we are just saying that I can't say because there is more here.

[00:24:08]Then one angle became the same sign.

[00:24:10]In the given figure This ray divides angle AC.

[00:24:16]The angle OKAC is the ray divide of Kipaba.

[00:24:21]Does it in two parts okay in two Parts and Makes Two Angles and This angle is obtained by dividing it.

[00:24:29]That is divided into two parts.

[00:24:31]Young A APB and CPB Okay, so it's formed into two angles. So That is why we are APC.

[00:24:41]We cannot say it in a single sentence.

[00:24:44]Is the answer understood? Means and because.

[00:24:48]Here we are getting more than one.

[00:24:50]Angle So look here one angle Okay, here's one angle.

[00:24:55]To take it as a total, here is a total Angle has arrived. So why do we Let's keep it simple.

[00:25:04]I can't say if there is a single figure like this.

[00:25:07]We denote this as a single angle.

[00:25:10]Can you do this figure, even if it's OK?

[00:25:12]You can say R, you can say R.

[00:25:15]You could even say it's simply AngleS.

[00:25:18]Clear the doubt now, okay now we will move.

[00:25:20]To the Fourth Question Gaius Fourth Question Look what's up, name the angels mark in The given figure is for us.

[00:25:30]So guys watch the next question, name it.

[00:25:32]Angles Marked in the Given Figure Okay, so here's a picture of this.

[00:25:37]What angles do we have in pictures?

[00:25:40]So, let me tell you the first figure.

[00:25:42]Observe how the figure here There is a PTR Three races are joined, okay?

[00:25:49]A rate called AATR is the same as a PT.

[00:25:52]A ray of sunshine has joined the race.

[00:25:55]At one point, at that point, okay.

[00:25:58]Three races have joined together.

[00:26:01]Got it, so what do we have in the figure here?

[00:26:04]Showing that it is a joke An angle is formed near Look, this angle is okay.

[00:26:11]This angle is close to the form.

[00:26:13]Then Okay, so this angle is a form.

[00:26:18]Here we have an angle form. Write They say, so we should write here too.

[00:26:23]It could be a farm, but it wasn't given to us.

[00:26:26]This is not writing, we are okay, yes, per da.

[00:26:28]Given figure two angles are formed Only two angles are formed here.

[00:26:33]It could also be a form but it was not given because We are not writing. What are they?

[00:26:39]Angle out You can say okay or not.

[00:26:44]Can you say OKR angle?

[00:26:48]Qoute There's an angle farm nearby, okay?

[00:26:52]AndPTR A large angle has formed nearby.

[00:26:56]So you can say that even if it is PTI, LsRTP You can also say Do you understand? Okay, now you'll be fine.

[00:27:05]Question guys Mark any three points on your Paper That Are Not on the Line Label Them AB and C draw all possible lines.

[00:27:16]Going through pairs of these points Okay, so what are we saying here? So here.

[00:27:22]I will explain, look at a paper.

[00:27:24]You draw three points on They say do it. So suppose three Points are what I drew.

[00:27:31]Okay, so after doing this, you can do it anyway.

[00:27:34]You label the three points.

[00:27:36]It's okay if you say "give me a name" PQR is what I'm naming it.

[00:27:42]Okay, we'll draw all possible.

[00:27:44]Lines Going Through Pair of Points Here we call the pair of points That is, a line touching two points.

[00:27:51]How many lines do you need to pass?

[00:27:54]They say it can be done. So too Points First These Two Points If you take it, there is a line. Okay Next Two points make a single line.

[00:28:04]Okay, next, let's take these two points.

[00:28:06]This line is the form of these two points.

[00:28:08]If you take this line, it becomes a form. And more We still have some rest and some lines.

[00:28:13]Will it come or not? Only three lines.

[00:28:15]They arrived. Okay, so what are you saying here?

[00:28:16]That is, how many lines do you get?

[00:28:19]We got the lines, we Three lines have come, name them.

[00:28:25]See what they mean.

[00:28:28]There was a line called OKEPA and a line called DENPIA.

[00:28:32]The line came in, then there was a queue.

[00:28:35]The line came, okay, three lines.

[00:28:37]Okay, how many angles are there?

[00:28:40]You name how many angles you can name.

[00:28:43]How many do you have from Yujung ABC? Okay, okay, ABC?

[00:28:46]They say that angles will come. So Angle angle how many angles did you get?

[00:28:50]Look here if you take this from here This is from one angle. Like this If you take it, you get one angle like this.

[00:28:56]If we take it this way, one angle means here Three angles are my form.

[00:29:00]Okay, so what are those angle brackets?

[00:29:04]The word "angilpaakya" means "to be a monk".

[00:29:06]Angle action Three angles have arrived. So that's it.

[00:29:10]The question is, so here is this, so here is this.

[00:29:14]I wrote to you, so here are three.

[00:29:16]When I join the points I get three lines, what are the lines?

[00:29:20]Tell me, what lines have you got?

[00:29:22]We have AB lines ABAB The line has arrived. The Denbisi line has arrived.

[00:29:27]Then the CA line came. After this They say how many angles we got.

[00:29:33]If you look at the angles, here it is like this.

[00:29:36]If you take it, it's okay. If you take it like this, I'll be here.

[00:29:38]An angle has become a form. Here You can take a cab no matter what the angle is.

[00:29:42]You can take bac but we must remember What to do and what to remember What should come in the middle okay cab Okay, I took this angle.

[00:29:52]Look here, this point has been joined, right?

[00:29:54]Here too, I have an angle that is farm so How do we read this angle?

[00:29:59]bCA can also be said ACB Still, it can be said that AC should come in the middle.

[00:30:05]OKBA I got it, okay, next here.

[00:30:08]Even an angle is a form, okay?

[00:30:11]I have an angle farm near At Point BB.

[00:30:14]It is so, you should come in.

[00:30:16]MiddleABC Okay, guys, I understand, so this is what I should take.

[00:30:20]Is the answer for this fifteenth question okay?

[00:30:23]Now that's the sixth question guys.

[00:30:25]Mark Any Four Points on Your Paper So that none of them are on the same Line Label ThemaABCD Draw All Possible Lines Going Through Pair of These Pointshow Mena Lines Do You Get Named How Many Young Men Are There Next?

[00:30:43]What are we saying in the sixth question?

[00:30:45]On paper you have four points.

[00:30:48]Put it on. What should those four points be like?

[00:30:50]It shouldn't come in a straight line.

[00:30:52]Where is it that it should not come straight?

[00:30:55]I want to be there, see.

[00:30:57]I took four points. This I call the Four Points ABCD.

[00:31:02]Give me a name, he said, ABCD is the name.

[00:31:04]I gave it.

[00:31:06]As I said, from here on out, it means two.

[00:31:08]Points are so we come and line up.

[00:31:12]How to draw, how to draw Draw a line by touching the points.

[00:31:17]So look now I have these two points.

[00:31:19]I drew a line while touching it. Okay, one line here.

[00:31:22]A line touching two points I have placed a finger touching these two points.

[00:31:27]I drew a line touching these two points.

[00:31:30]I drew a line and then these two points.

[00:31:32]I drew a line while touching, okay?

[00:31:36]Next, touch these two points and draw a I'm drawing a line, so there are still some lines.

[00:31:41]Will it come or not? So these are the lines that came.

[00:31:43]We are talking about the lines that Why do we have to mark these arrows? Okay.

[00:31:48]We need to mark the Yaros. Okay so That's all we got lines for.

[00:31:54]What is being said in the question here is how?

[00:31:56]Many lines say "Do you get" Now let's count, so what lines do we have?

[00:32:00]A line came up saying, "Look what?"

[00:32:03]Okay, the DC line came.

[00:32:07]The Densibi line has arrived, okay?

[00:32:11]Then the BA line came, BA RAB anything Okay, NextA is the line.

[00:32:16]A line came up saying "Denbidi" Okay DB RBD okay so how many in total?

[00:32:23]Lines We got six lines Six The lines have arrived. Okay so now What do you think, how many angles are there next?

[00:32:30]They say they have arrived.

[00:32:34]Okay, look how many angles you got.

[00:32:36]If I observe from here, From here to here I have an angle farm.

[00:32:41]What angle is this? BAD Okay AngleBAD Okay, so next, we got an angle.

[00:32:51]If we take it like this AngleAC OK Angle ADC Look, we have a vortex.

[00:33:01]What do we need to join two lines?

[00:33:03]The point we get is the middle point.

[00:33:05]Remember this if you want to come. So Look here, I have an angle here too.

[00:33:10]It became a form, these two lines are a corner.

[00:33:12]This is the point, so this is what I mean.

[00:33:15]How to get the angle in the middle?

[00:33:16]I will write, I can write DC or BCD.

[00:33:20]You can still write OK angle dcbasi.

[00:33:24]It came in the middle, next here.

[00:33:26]Also an angle form has become ABC.

[00:33:29]Okay Angle ABC The angle farm is like this: Look, look, even if we look like this, we have a Angle Farm became the Witch ESBAC AngleBAC It's a form, look at it like this.

[00:33:45]If we take this from here, what is this angle?

[00:33:47]Angle this is d ok angle dac is the form If we take it like this, it becomes Angle ADC.

[00:33:56]AngleADC [Throat Correction] Next, if we take it like this AngleBDC Anglebadisi Do you understand, Gaius, that this is the answer?

[00:34:08]I'm showing you, look, so look, ABCD.

[00:34:11]I have four points. These four How to join points?

[00:34:16]Draw a line covering the points.

[00:34:18]If I keep doing this, this figure is form for me.

[00:34:20]It's done. So from here I have six.

[00:34:22]The lines are those six lines that came.

[00:34:24]See what they mean.

[00:34:27]That is, a line called AB is connected to a line called BC.

[00:34:31]A line called lineCD A line called lineDA A line called ThenA A line called ThenBDI Six lines are joined, okay?

[00:34:41]Now we want to look at the angles, so we have this.

[00:34:43]Angles have arrived, so look at me first.

[00:34:46]First, I'm taking it like this.

[00:34:48]Take it like this, take it like this, see.

[00:34:51]From here I am putting it on the side.

[00:34:53]So you want to understand this angle.

[00:34:56]What will happen to me if I take it?

[00:34:58]Angle ABC The angle came, "Okay, next."

[00:35:03]If you pay close attention to this, it's okay now.

[00:35:06]I'm taking it like this, okay, like this.

[00:35:08]I'm taking it like this.

[00:35:10]What angle did I get? What angle?

[00:35:13]It's okay, so I guess.

[00:35:16]Now I'm taking this angle.

[00:35:18]Angle When taking this angle, I Angle d is called d.

[00:35:25]I have three points, one point away.

[00:35:27]Angles are coming. Okay, so three.

[00:35:30]Angles are coming. From here You can easily tell us that in total How many come, we have four corners?

[00:35:36]There are three near each corner.

[00:35:38]Angles are coming, which means 34 12 You say that angles will come and you go directly.

[00:35:42]Can you give me the answer? So now look.

[00:35:44]If we take the vertex, then the angle is like this If we take one, we get an angle of A form.

[00:35:48]It will be here, see the bus.

[00:35:50]The angle farm will be OK, OK.

[00:35:54]So now come and read this line.

[00:35:57]I'm taking this line. If you take it, I'll take it.

[00:35:59]This angle is formed. This angle is empty.

[00:36:02]OKBA Next This Angle I'm taking this angle.

[00:36:07]Next dCiba is next like this here If you take [clearing throat] Next If we take this angle, the angle cda is If you take this again, you will get CDB.

[00:36:18]If we take AB It comes as well as if you look here first.

[00:36:24]If you take it after the DAB, it will come.

[00:36:28]If you take this, it will be DAC.

[00:36:32]This means we have six in total.

[00:36:34]Angles become form. Okay guys.

[00:36:36]So this is the answer for the sixth.

[00:36:39]The question is understood, okay up to this point.

[00:36:41]Now we will move to the next chapter guys.

[00:36:43]That's comparing angles okay so Next chapter 2.6 will be about comparing He is talking about angles. So okay.

[00:36:51]So now how do we measure angles?

[00:36:54]Let's compare, okay, I suppose.

[00:36:57]As I said, here I show you.

[00:36:59]So we have angles like this.

[00:37:01]When given, you can find two angles.

[00:37:04]How do you compare these two angles?

[00:37:06]How do these two angles compare?

[00:37:08]How do you compare? Okay, how do we compare?

[00:37:11]The topic for us is whether we can compare.

[00:37:13]So look here we have four.

[00:37:15]Pictures are given by OK Snake.

[00:37:17]Fish the Bird the and Crocodile the So So You are very observant in these four pictures.

[00:37:22]If you do, there will be an animal in each and every picture.

[00:37:24]She came and opened her mouth. Okay The snake also opened its mouth, and so did the fish.

[00:37:29]The bird opened its mouth and also opened it.

[00:37:32]Even the crocodile opened its mouth.

[00:37:33]So did the mouth in these four pictures?

[00:37:36]Each and every animal is opening there.

[00:37:38]When we open our mouth like this, Angle has become a form. Well here Observe, do you see any youth here?

[00:37:46]They say yes of course you can.

[00:37:48]Young Here If Yes Mark the arms and vertex of each Of them okay can you arrange the angles In the pics from smallest to Largest So Here in These Four Pictures You marked the angles, right?

[00:38:02]So after marking, according to the Size of the Angel Can You Arrange Them?

[00:38:06]From smallest to largest They say. That means you have angles.

[00:38:10]Observe and learn from the smallest animal Angled to the Largest Animal They did it, didn't they? They opened their mouths.

[00:38:18]Can you arrange it?

[00:38:20]Of course we can arrange it, let's see.

[00:38:22]The answer for this guy is OK. See the answer.

[00:38:24]Guys, arrange the angles, okay?

[00:38:27]If we want to see angles, we look at how It's okay to open every animal's mouth wide open.

[00:38:32]How do animals' mouths work?

[00:38:35]How wide is it to say "opened"?

[00:38:38]It's okay to open it as much as you want.

[00:38:41]I would say it's probably wide. Look at that.

[00:38:43]Now we are going from smallest to largest.

[00:38:46]Until Angles Made by the Animals is If you see the Royal So Smallest first In 1991, we had the smallest of all.

[00:38:54]Fish is the word, so the second after that.

[00:38:57]The Mouth of the Smallest Bird Next comes the third smallest snake.

[00:39:02]And the largest animal has arrived.

[00:39:04]The largest angle is the crocodile for us.

[00:39:08]It came near the mouth of. Okay guys so This is the answer for this first question.

[00:39:12]Now the second question is this.

[00:39:15]It's always easy to compare two young people, okay?

[00:39:18]Here we are given four pictures.

[00:39:21]What we are being asked in the question here is two.

[00:39:24]Is it easy to compare angles?

[00:39:26]They are asking questions. Okay so here If you have observed carefully Here we can let the Sun Times tell us.

[00:39:33]That's okay.

[00:39:38]Now in the above question we can easily We told you how much we get from which animal.

[00:39:44]We said that the angle is small and big. Year At times we are very confused.

[00:39:49]When We Are Given the Similar Pictures Okay, when given similar pictures.

[00:39:54]Angles are very difficult to find.

[00:39:56]That's it. So look at the answer to that.

[00:39:59]They took pictures, so these are the four pictures.

[00:40:01]If you have observed in the From the point we have the angle The farm is here, near this point here.

[00:40:09]Near this point here near this point Can we compare angles here?

[00:40:13]We say that, but look here we are.

[00:40:15]Angles cannot be compared. It is very Difficult to find the angels from this Pictures So That's Why Write It Down It is not always easy to compare two.

[00:40:25]Young people just by looking at them so Looking at it, we can see that angles are There is a big one, there is a big one.

[00:40:33]We can't say, so this is the one.

[00:40:34]Answer got it guys ok now we will move To the next topic So next topic What do we have comparing angels by super?

[00:40:42]Imposition is okay so next topic is Comparing Angles by Superimposition So This is our next topic here.

[00:40:50]What is superimposition?

[00:40:52]I will say that super imposition is nothing.

[00:40:55]Butt Putting one angle on another angle It's okay to compare, putting one over the other.

[00:41:02]Okay, so watch it.

[00:41:06]Putting one over the other okay so one over Put one object on top of another.

[00:41:15]We use superimposition to compare.

[00:41:18]Let's say. Okay so compare angles by super Imposition is now done and we have angles.

[00:41:24]This angle is comparable.

[00:41:27]Is that angle big or small? So it's a good idea.

[00:41:29]Look, here are a couple of pictures for us.

[00:41:32]Leave this picture, so these two pictures Given an angle ABC and P They made another angle called QR. This too These two pictures are now in the pictures.

[00:41:43]We observe the angles of these two What are the angles of the pictures?

[00:41:47]Can you tell me if it's bigger or not?

[00:41:50]Then we can do this with superimposition.

[00:41:54]The angles of can be found by this We can determine which of the two angles is larger.

[00:41:59]You can compare it here.

[00:42:02]Come and take a picture of something.

[00:42:05]Then we put it on another picture.

[00:42:07]So, you can compare two angles.

[00:42:10]Look at this angle here.

[00:42:14]I'm putting a weird angle on it. So Look at that.

[00:42:18]There is an angle. I am confused about this angle.

[00:42:21]I put the angle. How does the means This vortex of the Pettala, this vortex of us I want to join here, okay, on one thing.

[00:42:30]One is to say, "Suppose for example" I mean, look at this now.

[00:42:37]There is an angle, I'm okay with the next angle.

[00:42:40]Okay, I have these two angles.

[00:42:43]I am superimposing one on top of the other.

[00:42:45]First, let's see how this big one works.

[00:42:48]I'll put on an angle, okay, okay, like this.

[00:42:52]I put it on, so this vortex is like this This angle is drawn by putting it on itself.

[00:42:57]So from here on out it's like this It came like this. Do you understand?

[00:43:04]This is how we should compare Wait, I'll tell you how to do this too.

[00:43:08]Okay, so let's solve this first, Soapy.

[00:43:11]ABC is the angle QR.

[00:43:14]I put it. So why is that angle so big?

[00:43:17]Okay, from here to here.

[00:43:19]I get it. Okay, that's it.

[00:43:24]But that's all I get.

[00:43:26]Do you understand the difference?

[00:43:29]Means ABC angle is less than 100 degrees.

[00:43:33]We can say that it is an angle. Okay this.

[00:43:35]So we [clearing throat] We can compare angles by imposition.

[00:43:39]Superimposition is our topic. Now Is it clear, now tell me this?

[00:43:43]Which of the two angles is larger?

[00:43:46]So this is the bigger angle okay so This is a bigger angle and this is How do we know the smaller angle? Super After the imposition, it's okay, one on top of the other.

[00:43:58]After putting it in, we know this angle.

[00:44:00]The larger this angle, the smaller it is.

[00:44:02]It is known. So guys, now you see.

[00:44:04]I wrote this here to make it clear.

[00:44:06]Diagram okay so this is diagram one Suppose this is Diagram 2 Suppose this is Diagram 3 is okay so in diagram one we have What form is the angle AC?

[00:44:17]The form is where is a line bc A line called "abba is a ray and bassi" means Is another ray okay next second picture Low angle is formed near the cue.

[00:44:29]We can call it pq angle pq.

[00:44:33]Okay, let me tell you what the two races are here.

[00:44:36]There is a ray named pq and a ray named qa.

[00:44:39]There is. Okay, QP, one QR, one OK.

[00:44:47]Next diagram three comes in.

[00:44:49]Shows two angles here we have two Why are angles a form?

[00:44:54]Because we have super imposed okay too We made the angles one on top of the other.

[00:45:00]Okay, we did a super imposed one, so I Two angles have arrived, okay shows too.

[00:45:06]Angles superimposed on each other Vertex Q Q is placed Directly on Vertexby near OKB I placed the queue, then I got two.

[00:45:17]Angles are form, okay, these two.

[00:45:20]Look at the angles, it's like a fairy tale.

[00:45:23]On a ray It's a lie, okay, look, Kyar Ray.

[00:45:28]I got a ray of light on my face, it's just a race.

[00:45:32]Right here at this very point we have this same line.

[00:45:35]They joined in. But qp okay qp ray Opens wider than the rabbi Okay, it opens wider than that.

[00:45:48]I wrote it so what is the conclusion to it?

[00:45:51]Picture shows Dato' Yongles superimposed Okay, when we do superimposition, we get two Youngles is clearly They are visible and it is clear that Yangilpi Qar is greater than Young Abacus We wrote the same thing, got it guys, is this clear?

[00:46:09]Okay, the topic is now equal.

[00:46:11]Angles are now equal to one angle.

[00:46:14]Small is an angle, big is super.

[00:46:16]What angle can we find in imposition?

[00:46:18]We have said which angle is larger and which is smaller.

[00:46:21]Okay, suppose we have two of the same If the angles are the same for us then we Our question is how to find out.

[00:46:30]So that's what our next topic is for.

[00:46:32]They came and gave equal angles.

[00:46:34]So how is equal angles here?

[00:46:37]Look at Angles to Angles.

[00:46:39]I took AO I took two angles, that is, x and.

[00:46:44]But I suppose I asked you.

[00:46:46]Imagine which of these two angles here Of course, if you say the angle is large, What do you think of these second pictures?

[00:46:52]Everyone will tell you why you have seen it.

[00:46:54]The size is okay. You can compare the size and choose this.

[00:46:57]They say the angle of is large. But Guys, I already told you, you are great.

[00:47:02]Of the size of the arms, the length of the You shouldn't say that by looking at the arms.

[00:47:06]Look at the angle and you will see the same angle.

[00:47:11]I asked him to tell me whether the angle was big or small.

[00:47:13]So if you look here, in these two figures The angle is the same for us. Here Length of the arms okay arms of the The angle is small, so here are the arms.

[00:47:24]That's the big difference.

[00:47:26]The angle is the same. So look.

[00:47:28]Now I'm super excited about these two angles.

[00:47:30]Imposing means imposing on something.

[00:47:32]I'm putting one in, how is that?

[00:47:35]I'm putting O O as if it were joined.

[00:47:38]I put it here, join at this single point.

[00:47:40]I did it, O and O came on the same line.

[00:47:44]And here too, an O-ray and an X-ray We also have the same lie on the same line.

[00:47:51]So why is it the same on the same thing?

[00:47:54]Two superimposed on the same ray of light But it's easy because this is two or the Equal angles are the same angles.

[00:48:03]But the length is a little extra for us.

[00:48:06]There is a short oa length here.

[00:48:09]The ox length is large as well as the obi.

[00:48:11]The length is short, the overlength is large.

[00:48:13]That's what it is, so we have A and B.

[00:48:16]The points are close to us.

[00:48:19]We got some points.

[00:48:22]It's okay if they came late, but these two Angles are two angles are two The figures come and we have the same angles.

[00:48:30]Is They are forming. From these two figures The same angle is the form for us.

[00:48:37]Do you understand guys, so this is the topic of Equal angles are okay so here we have a See question given below where else Do you use superimposition to compare? Okay.

[00:48:47]So what is superimposition and how do we use it?

[00:48:50]Why do we use it?

[00:48:52]Will you use it to compare what you compare?

[00:48:55]Placement by size and shape to make One object on the other is okay so one Place another object on top of the object.

[00:49:05]Its size and shape are what we What is this superimposition of what is being discovered?

[00:49:11]Okay, let's use it, so this is an example, it's great.

[00:49:14]Imposition is everywhere in our daily lives.

[00:49:16]You can see that tailoring is only for the tailor shop.

[00:49:19]Let's go, okay, stitch your dress.

[00:49:20]I want to make it so you can dress stitch.

[00:49:23]You give the cloth to the tailor to make.

[00:49:25]And at the same time, your dress too.

[00:49:27]They give. Okay, after giving me the dress, you gave it.

[00:49:30]Put your dress on the cloth and He keeps cutting on the shape. Okay There we have super imposition which is the use Okay, that's what we're saying.

[00:49:39]In tailoring, we use superimposition.

[00:49:41]You can see that this pad is manufactured.

[00:49:44]Making of pad Making of pens is okay Any product manufacturer We want to get the same size, same shape, same We'll put it one on top of the other.

[00:49:55]Okay, you should take the rods too.

[00:49:58]If it's a rod, then the rod will be round, right?

[00:50:01]Round round, we want the shape to be correct.

[00:50:04]Take a round rod and put a string on that round rod.

[00:50:07]We have another object with the same shape.

[00:50:09]We will cut it in. Means there We also use superimposition.

[00:50:13]It's done. Okay, that's what we wrote. Next Cooking Even in cooking, animation is in animation.

[00:50:18]Also, in the animation, this is how we We'll make cartoons, right? So in cartoons.

[00:50:23]However, any 3D object is the same size and shape for us.

[00:50:26]Size is okay Size of the cartoons Height of The cartoons are the same.

[00:50:30]We'll see. So we are super there too.

[00:50:32]We will use imposition. So next In architecture, we also We will use superimposition.

[00:50:39]So these examples are just fine.

[00:50:41]Guess what's the next topic for us?

[00:50:44]Next topic is Figure It Out 2.3 Okay so in Figure It Out 2.3 we have Some questions were given, let's solve them.

[00:50:52]Each and every question guys okay so first See the question on the screen.

[00:50:56]Showing.

[00:50:58]Fold the rectangular sheet of paper.

[00:51:00]Then draw a line along the fold.

[00:51:02]Created name and compare the angels Formed Between the Fold and the Sides Off the paper, so what are we saying here?

[00:51:11]You can use rectangular shaped paper.

[00:51:13]They say take it. So text us.

[00:51:15]The figure is given in the book like this: We took a rectangular sheet of paper and When I fold the paper like this I have a crease line like this in the middle.

[00:51:25]I came across this line in the middle.

[00:51:27]If you join, it's okay. I'll draw this line.

[00:51:29]If you do, I'll give you two points, okay, end of the day.

[00:51:32]I took those points from the paper and After drawing that line, from here Did you notice that the angle has become a form?

[00:51:40]They say. So after folding like this we have this Here is a line, so this line Can we find the angle near us?

[00:51:48]That is, of course, we can find the Angle here okay this line like this I have an angle here when taking If I take it like this, it becomes a form.

[00:51:57]Here an angle is a form as well.

[00:51:59]If you want, I can take this side too and put it here.

[00:52:02]It can also be taken as an angle form.

[00:52:04]Even if you take it this way, I have an angle here.

[00:52:06]is the form like four angles is the form Okay, so we'll use these four angles.

[00:52:12]Can you tell me which angle is larger here?

[00:52:14]That's what we are told. I am Sapos.

[00:52:16]Here only two angles are compared.

[00:52:18]I will tell you. I guess I took this.

[00:52:21]Guess what this is coming.

[00:52:23]Think this way, this way, OK, ABC for me.

[00:52:27]Here an angle has become a form. Okay Angle ABC I took it so this angle is abbasi What is the angle between the nearest neighbor and the nearest neighbor?

[00:52:37]It came, okay, Angleby came, too.

[00:52:40]I'm taking this now, okay?

[00:52:43]And d ok compare these two angles I am doing the angle called Means ABC.

[00:52:48]I compare the angle plus esiba.

[00:52:51]I am doing it. So look by comparing.

[00:52:55]Bye ComparingOne If I compare it to Andta Okone Andta Which angle looks bigger to me?

[00:53:06]What angle farm do I need near Sovan?

[00:53:08]It became an angle farm called ABC.

[00:53:11]Angle ABC It's a form called "Okay, what's near me?"

[00:53:16]It's an angle farm.

[00:53:18]The angle e c and b is right angle.

[00:53:24]The angle has become a farm. Now these two If I compare the angles, this I have a big one, save it.

[00:53:30]Comparing two is okay so comparing one and the other.

[00:53:33]If I compare OKABC and ECB I think the angle is greater than the angle.

[00:53:42]A greater angle is coming.

[00:53:45]Okay guys, so this is how you compare.

[00:53:47]What I mean is, which angle is bigger?

[00:53:50]Okay okay guess now we will move to the second Question which is the second question?

[00:53:54]See what is given in each case to determine.

[00:53:57]Witch Girl is Greater and Why So Guys In each case, determine which angle is Greater and why so here we have a picture What do we see in this picture?

[00:54:07]So what I mean is that the angle is large.

[00:54:09]Here we are given three points, okay?

[00:54:12]We compare the three points.

[00:54:14]Let me tell you, first look at the angle AOB.

[00:54:17]So, second question, okay now.

[00:54:19]This picture was given in the second question.

[00:54:22]As we observe the picture, what is happening here?

[00:54:25]The angle is big, okay bye.

[00:54:27]Comparing the given angles is okay.

[00:54:29]Angle AOB This is to compare the angle AOB with the right angle.

[00:54:34]They asked me to compare the angles. Okay this.

[00:54:36]The angle has come this far. Okay, what do we do with this?

[00:54:40]I want to compare xO okay xO y is to be compared so guys now You can easily say that, Angle.

[00:54:49]Look at the angle, is it that big?

[00:54:52]It came and otherwise the angle x is large.

[00:54:55]So look at this angle, this big one.

[00:54:58]This angle is small in the angle, right?

[00:55:00]Of course we can say that angle AOB is You can say it's big, okay angle AO Is greater than that angle xova next What is the comparison between angles AOB and XOB?

[00:55:13]Given OK angle AOB given next XOB given. The angle AOB is equal to If we take this, we have an angle of this form.

[00:55:23]If we take this angle form for OK xO It's over. It's over. If this And this is extra, right? Oh no.

[00:55:31]There is a big one. Therefore, angle AOB Greater Than Young XOB is a Rayala What is the next comparison saying?

[00:55:40]They say angle XOB or angle XOC.

[00:55:43]So now let's see if we can compare it to xO.

[00:55:47]So this is what I want to compare it to xOC.

[00:55:50]If we compare it to angles, then see xO xOC So we have the same angle here.

[00:55:58]Okay, we have the length.

[00:56:00]It changes the difference in length.

[00:56:03]Okay, Arms of the Arms of the Angle is what makes the difference for us.

[00:56:08]Okay, here is the shorthand for obj length.

[00:56:11]When compared to OC length But angles are the same for us.

[00:56:15]So write xO and xOC here.

[00:56:20]xoba equals xoc and got it against Is it clear? Okay, now it's the third.

[00:56:27]Question guys, which angle is greater? Okay.

[00:56:29]Here too, we are given a picture of this What we should compare and say in the picture Compare which is bigger with which.

[00:56:36]Compare x to x in AOB Look, here we are given this figure.

[00:56:42]In the figure, we compare two angles.

[00:56:44]What should I do?

[00:56:48]Okay, this angle is x0.

[00:56:51]What should this angle be compared to? AOB With AOB Okay, so let's see the angle of AOB.

[00:57:01]So far AOB Angle, this is okay and x is over.

[00:57:07]If we take the angle from here, we get this Okay, so you're from here.

[00:57:12]Let me say this clearly.

[00:57:13]So I took this angle a little like this Either way, this space is for me.

[00:57:18]Comes as an extra. Do you understand AOB?

[00:57:22]But it's like this, okay, so we have this here.

[00:57:24]Okay, this is the part that was covered.

[00:57:27]Even if we cut here, we still have this The part is left over, right?

[00:57:33]So in x we ​​get greater We wrote the same thing by comparing xOY and AOB.

[00:57:42]Bye super imposition, okay super imposition.

[00:57:45]I put the means one on top of the other.

[00:57:47]Even if you compare, it's one on top of the other.

[00:57:51]I put it on and superimposed it.

[00:57:54]It is clear to me when I compare.

[00:57:57]That AOB is smaller than angle AOB.

[00:58:01]It came at a small angle and xOY is Greater England, therefore, we can say Angle x is greater than 0.0 Again so this is the answer for this Third question got it okay next for us What is the next topic? We are comparing.

[00:58:17]Angles without superimposition are okay.

[00:58:20]Until now we have been on one thing.

[00:58:22]Put one and do the means superimposition.

[00:58:25]We have been finding angles.

[00:58:27]And it is very easy to compare the Angles by superimposition. Now The topic is what superimposition means.

[00:58:34]Without comparing it to something else Can you say the same? What are the angles?

[00:58:39]Big is our next topic. So Look guys.

[00:58:44]So guys next topic is on.

[00:58:46]Comparing Angles Without Superimposition Okay, super imposition, one on top of the other.

[00:58:51]We compare the angles without putting Can we say which angle is larger?

[00:58:56]Question. So guys here's to you.

[00:58:58]Look, I'm showing you. Here we have two Cranes were given, okay. These two cranes They came and argued.

[00:59:04]They argue with each other.

[00:59:07]Their mouth is wide when they do.

[00:59:10]It opened up very big.

[00:59:13]Mouth So you are the mouth of these two cranes Observe and decide which angle is larger.

[00:59:18]The question is, can you tell me, so guys?

[00:59:21]See here So before I say this, Here are some figures to give you an idea.

[00:59:29]See Okay, these angles without superimposing.

[00:59:34]Which of these two angles is larger?

[00:59:36]Which of these two angles is larger?

[00:59:38]Can you tell me which one is the loudest? [snorts] The question is, what is this angle?

[00:59:42]You can use a different method without putting it on.

[00:59:44]The question is whether you can say it, so guys.

[00:59:46]The topic here is that we are superimposed.

[00:59:50]Without doing means on an angle different Can you say it like that without adding an angle?

[00:59:56]They are saying which angle is bigger.

[00:59:58]Okay, so we can do this too.

[01:00:01]There is an oil paper, right? So oil.

[01:00:03]You took the paper, I think, and that oil.

[01:00:06]The paper is very transparent.

[01:00:08]Means if you look from this side, that side is the It looks like something transparent.

[01:00:14]Take the paper and draw this angle like this You can put it here later.

[01:00:19]I can compare, so I have it.

[01:00:21]There is no such paper, Gaius, so I have a Polythene sheet is okay, so I have polythene.

[01:00:27]There is a cover. So look at this cover and this cover Let's use it, we wait.

[01:00:35]So guys, suppose I have polythene.

[01:00:38]I took the cover so if you look from here It's transparent, isn't it? So we Without superimposition means this angle We can't cover this angle on it.

[01:00:48]Then we can do something like this Paper, or some kind of transparent paper.

[01:00:53]I can take it anyway, so I came here.

[01:00:55]I'm taking this, so so this.

[01:00:57]Okay, so when I put it here like this Look, I have an angle mark here.

[01:01:03]Okay, I'll wear it here.

[01:01:06]If you want to wear it, then you are correct.

[01:01:08]Angles can be compared without Super imposition so so this point is mine It ended here, so here it is here.

[01:01:15]It's over. So so means here for me.

[01:01:18]Three dots appeared on the paper.

[01:01:20]Okay so here's a dot here's a Dot here means this is the Vertex point So this vertex point I put it on this figure here and I So here I am, saying that we can compare.

[01:01:32]Okay, so let me see here.

[01:01:36]The point is coming, here is a point.

[01:01:37]So we can say that it comes So, is this angle big?

[01:01:42]We can easily say it's big.

[01:01:44]If you look here I am right at the vertex point.

[01:01:48]If you look at it, I think this first angle Point is I got one here here I got one, the mean angle is for me.

[01:01:55]Of these two figures, this one is the most popular.

[01:01:58]So this is the bigger angle.

[01:02:00]When compared to this, okay, so here too.

[01:02:03]We can do it too. So here we are.

[01:02:05]Look at this figure when I did it.

[01:02:08]I am comparing. So here I have this I marked the point and said okay.

[01:02:14]I got one endpoint here.

[01:02:16]Here comes the endpoint. Okay, so this.

[01:02:19]I put the paper at the point of this vertex.

[01:02:22]If you look closely at this vertex, This is how we buy paper with the help of Off oil paper okay with the help of Transparent paper can be easily compared The Angles Without Superimposition It says. Suppose these two angles are the same.

[01:02:39]Okay, so these two angles are the same.

[01:02:41]Think about how we can use these two angles.

[01:02:43]Let's compare, see how it looks without super.

[01:02:46]Imposition like polythene cover okay means Paper Paper with the Help of Oil You take the paper like this Okay, so you can compare two angles.

[01:02:57]Vertex point is near this vertex.

[01:02:59]So, if you want to see it as it came, look at this.

[01:03:01]This is what Vortex got, okay means.

[01:03:05]Here the two angles are the same.

[01:03:07]Okay, so guys, we can compare this.

[01:03:10]Thus we, with the help of Transparent paper or others Transparent polythene sheet you can Compare the angles easily without super Imposition is okay, this topic is understood here.

[01:03:22]Okay, so what should we do now?

[01:03:25]On the cranes, we are on the crane mouth.

[01:03:28]Putting such papers in their How much angle do we have near the mouth?

[01:03:34]That is something we need to see. So show me Then we have to say Crane open the mouth.

[01:03:41]Widely OK means a crane is near us.

[01:03:43]We have a big angle.

[01:03:45]Okay, let's be clear here.

[01:03:48]If you observe, the first picture is The angle of the crane is most important to us.

[01:03:52]Comes when compared to a second crane Mouth Got It Guys, this is how you say it Okay, next topic comes and we have 2.7 7.

[01:04:01]Making Rotating Arms So This Chapter So we will move on from this topic to a different class.

[01:04:07]Let's discuss guys, okay I hope guys.

[01:04:09]You all understand by now.

[01:04:11]I think so. If you like the video Guys please don't forget to hit the like.

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[01:04:26]So much Alhullillah