This video efficiently distills a complex geometric puzzle into a series of logical, easy-to-follow steps. It serves as a solid reminder that mastering fundamental properties is the key to solving intricate mathematical problems.
Deep Dive
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Deep Dive
Can you solve this maths geometry question?#shorts#youtubelive#maths#liveAdded:
triangle and A is a triangle D E C is a triangle. So he has been given angle B 70°.
So here angle B equal to angle C equal and equal to 78°.
Now BC so BC is equal to EC.
So after that CD this side is equal to BC. Okay. So BC the side BC is equal to EC and the side CD is equal to BC. And after that we have to find out the value of the angle E DB. So what will be the value of the angle E DB?
So this is the question and you have to put the value of the angle ED. So what will be the value of the angle A DB? Please try it and give the answer. So has been given.
So see y'all.
So friends here B angle B is equal to angle C. So he has been given and uh BC side BC is equal to side AC and after that side CD is equal to side BC.
So we have to find out here the value of the angle E DB. So what will be the value of the angle E DB? Please start and give the answer.
So here has been given angle to angle C= 78° BC= to CD= to BC and we have to find out the value of the angle E DB.
So friends C has been given ABC is a triangle. So angle B equal to C equal to 78. So 78 and BC equal to EC and CD equal to BC.
Then we have to find out the value of the angle E DB.
So friends see here he has been given BC equal to EC. Okay.
So BC equal to EC and after that CD equal to BC. So that is why B C D will be a triangle.
So see here. Okay. So BC D is a triangle now.
So here BC equal to EC.
After that angle C E B equal to A B C. Okay.
equal to 78. So these two side equal that is why these two angles also will be equal.
Okay.
So after that in triangle B C D. So BCD here CD equal to BC.
Okay.
And after that DBC angle DBC equal to angle C DB.
Okay.
So DBC equal to C DB. Okay.
And now angle C D B plus angle DBC B C plus angle D CB. Okay. Equal to 100 80°.
Okay. C DB. C here C DB and after that DBC DB C and here D CB equal to 180° because the value of the angles of a triangle is 180° now so we can write here 2 * CD D angle C DB + 78° equal to 100 80°.
Now 2 * angle C DB 180° - 78.
Okay.
So, it's 2 * angle C DB equal to 102°. Okay.
Now, angle C DB equal to 51°.
Got it?
So in triangle B E C.
Okay. Here E C equal to BC.
So EC equal to BC. Now angle E B C equal to B E C. Angle B E C equal to 78°.
Okay.
So angle E B C plus angle B E C plus angle E C B equal to 180°. Okay. So this is 180° and after that here is 78° + 78° plus angles ECB equal to 180°.
Okay.
So angle ECB equal to 24°.
Now ACB equal to 78° So friends Here angle D C E plus angle E C B is 78°.
So angle d CE equal to 54°.
Okay.
And see here in triangle EC equal to EC. Okay. And angle DC equal to angle D E C.
So now angle D C E plus angle E D C plus angle D E C equal to 180°.
Now 2 * angle E D C equal to 180° minus we have got 44°. Okay. So angle E D C equal to 2 * angle E D = 12 26°.
So angle A D C equal to 63° and after that.
So friends after that here angle E D C equal to angle E DB plus angle C DB. Okay. So angle E D C will be equal to angle E DB plus angle C DB.
Okay.
So here we have got here angle E D C as 63°.
So 63° equal to angle E D B plus we have got here angle C D B as 51°. So angle E DB equal to 12°.
Okay. Angle E DB equal to 12°. So this will be the answer. Okay. So see here here the answer will be ED = 12°.
So 12 will be the correct answer. Okay.
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