Question

In the figure, find angle PQR, if O is the centre of the circle
and angle POR = 60°
(1) 120° (2) 135° (3) 150° (4) 105°​

Answer 1

Answer:

answer is

3) 150

bcz 180-(60/2)=180-30=150

Answer 2

Answer:

(3)150

Step-by-step explanation:

Given:

POR=60

To Find:

PQR

Proof:

POR=60............ Given

POR+ reflex POR =360........angle forming a complex angle

Reflex POR =360-60=300 --1

By theorem 10.8 we know,

Reflex POR=2 PQR

300=2 PQR .......................from 1

PQR=300/2

PQR=150

hence proved.