Question

In Fig. 6.17. POQ is a line. Ray OR is perpendicular
to line PQ. OS is another ray lying between rays
OP and OR. Prove that
AngleROS = (angle QOS - angle POS)
​

Answer 1

Explanation:

I think u would understand by seeing this pic ,view full pic

Answer 2

Given:

=> POQ is a line

=> Ray OR is perpendicular to line PQ.

=> OS is another ray lying between rays  OP and OR.

To Prove:

Angle ROS = (angle QOS - angle POS)

​Explanation:

=> Angle QOS= angle QOR+ROS = 90 + ROS

=> Angle POS = POR - ROS = 90- ROS

Now,

=> 1/2(QOS - POS)=1/2(90+ROS+-(90-ROS)

=> 1/2(90+ROS-90+ROS)

cancel 90 and - 90

=> 1/2×2×ROS

=> ROS (proved)

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