Interesting math challenge #geometry #mathproblem #mathchallenge #maths

Added: 2026-05-12

[00:00:00]given PM S is 40° and PM is a tangent and SM also is a tangent. Okay, here we have to find out the angle P RS and we have to find out also angle PTS.

[00:00:26]So what will be the value of the angle P RS and angle PTS?

[00:00:34]So this is also a circle. Okay.

[00:00:38]So PM is a tangent and also SM is a tangent and here angle M has been given 40°.

[00:00:54]So what will be the value of the angles angle P R S and angle PTS.

[00:01:08]So please start and give the answer.

[00:01:17]So this zeometric question is very important for upcoming competitive examination.

[00:01:26]Here the angle M has been given 40 and we have to find out here angle and angle T.

[00:01:46]There are two tangents okay PM and SM.

[00:01:55]Now we have to find out here the value of the angle P RS and angle PTS.

[02:57:36]So friends, See here he has been given MS is a tangent. Okay.

[02:57:48]And also MP is also a tangent.

[02:57:57]Now we have to find out the value of the angle P R S. Let's just see here.

[02:58:08]Here the formula is P R S equal to 90° + angle M by 2. Okay. So here 90° + 40° by 2.

[02:58:41]Okay.

[02:58:44]So here 90° + 20°. Okay. So 110°.

[02:58:54]Okay.

[02:59:18]So we have got here the value of the angle P R S is 110°.

[02:59:31]Okay. Now we have to find out the value of the angle PTS. So friends the formula to find out the value of the angle P R pts is.

[02:59:53]So friends see here. So this is 100. So 118° okay 80° 180° so here 180° minus 40° okay so here 140° will be the value of the angle pts.

[03:00:22]Okay. So this is the rules we have to use here to solve this problem. Okay. So we have got here the value of the angle P RS equal to 110° and also we have got here the value of the angle PTS is 140°.

[03:00:49]So here 110°.

[03:00:55]Okay. And also here 140°. Okay. So this is the answer. Okay.

[03:01:06]So see here.

[03:01:09]So friend if you draw a line. So see here we know that the total value of the angle. So here this portion is 180°.

[03:01:22]So the rule we have to use here to find out pts as we have to write down here 180° minus m. Okay. So here m has been given here 40°. So that is why we have put here 40°. So we have to subtract 40° from 180°. So after that we have got here 140°. So 140° will be the value of the PTS.

[03:02:02]So friends here MP okay so MP is a tangent.

[03:02:09]So P M is a tangent also here M S is a tangent. Okay. So there are two tangents here. So this is okay PM and SM.