Question

In the given figure , PQ and RS are two lines intersecting each other at point O. If ROT =90° , find the value of x, y and z.​

Answer 1

Step-by-step explanation:

let us take a line PQ

angle ROT+ x + 2x = 180⁰ ( straight line )

90⁰+ 3x = 180⁰

3x = 180⁰-90⁰

x = 90⁰/3

x = 30⁰

angle QOT = x = 30⁰

angle POR = 2x = 30× 2 = 60⁰

2x = y ( vertical opposite angles)

60⁰= y

90⁰ + x = z ( vertical opposite angles )

90⁰+ 30⁰= z

z = 120⁰