Trapezium geometry

Indexed: 2026-05-22

[00:00:00]Hi everybody welcomes to another geometric class.

[00:00:09]So here tropism related question has been given.

[00:00:16]So see here the question has been given here.

[00:00:24]A B C D is a trapezium.

[00:00:29]Here angle C A has been given X° and angle A D C has been given B° and here A4 C has been given J degree. Okay.

[00:01:00]Now, angle B is 90° and angle B CA is 50°.

[00:01:13]Now, student see here E F is parallel to A D.

[00:01:22]E F is parallel to A D and also A is parallel to BC.

[00:01:28]Now we have to find out the value of the angle O. So what will be the value of the angle O?

[00:02:27]So friends here so this is the Okay.

[00:03:06]So friends, this is Q. Okay.

[00:55:53]So friends, see here C A D is P XT and A D C is ID.

[00:56:08]CQ F is Z.

[00:56:11]Now what is the value of the angle O?

[00:56:15]Okay.

[00:56:17]So here BC is paral to.

[00:56:28]So here BC is par to PF and EF is paral to AD.

[00:56:41]So friends this angle and this angle also will be the same because the corresponding integer angle.

[00:56:51]Okay.

[00:56:53]So this angle is 50° that is why here x° also will be 50°. Okay.

[00:57:06]Now we can take this angle okay as theta.

[00:57:14]So theta + z equal to 180°.

[00:57:22]Okay.

[00:57:24]So, theta plus 50° = 180°.

[00:57:42]So theta = 180° - 50° equal to 130°.

[00:57:55]Okay.

[00:57:56]Now in the quadratal in the quadri the quadrilateral active FD.

[00:58:36]Okay.

[00:58:39]X° + Y° plus 120° plus theta = 360°. Okay.

[00:59:08]Now x° is 50° plus y° + 120°.

[00:59:25]Theta is here 30° = to 360°. Okay.

[00:59:42]Now 5° = to 360° minus 300°. Okay.

[00:59:59]So I = So y = 60°. Okay. So y = 60°.

[01:00:12]So here angle Y will be 60°.

[01:00:26]So this will be the correct answer.

[01:01:33]So this logic we have to use here to solve this problem.

[01:01:42]So first of all here theta + z angle z equal to 180°. Here zed is equal to 50°. So that is why after that theta is 130°.

[01:02:09]So in the quadral a q fd x + y + 120° + theta equal to 360°. After that we have got here x = 60°. So 60° will be the correct answer.

[01:03:09]So these are corresponding interior angles.

[01:03:13]So here C is 50° and J is 50° and X also will be 50°. Okay.

[01:03:51]Let me see you.