Question

Find the value of x *

A) 20

B) 10

C) 15

D) 25

Answer 1

B. 10

Explanation:

While doing construction O and P are joined then

OQ = OR

<QOR = 80°

<QPR = <QOR /2 ( INSCRIBED ANGLE IS HALF OF THE CENTRAL ANGLE STANDING ON SAME ARC)

<QPR = 80°/2

<QPR = 40°

SO

< QPO = X

<RPO = 30°

<QPO + <RPO = < QPR

X + 30° = 40°

X = 40° - 30°

X = 10°

hope it helps