Question

POQ is a line. ray OR is perpendicular to line PQ. OS is another ray lying between rays OP and OR. prove that angle poq is a line Re your purpose perpendicular to the line PQ OS is another way link between rest API and over prove that angle or OS equal to half of angle (angleQOS-

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Step-by-step explanation:

Given:

OR perpendicular to PQ.

$\implies \angle ROQ = 90\degree$

Proof:

/* From the figure ,

$\angle ROS = \angle QOS - \angle QOR \:---(1)$

$\angle ROS = \angle ROP - \angle POS \:---(2)$

/* Adding (1) and (2)

$\angle ROS + \angle ROS = \angle QOS - \angle QOR + \angle ROP - \angle POS$

$Since , \angle QOR = \angle ROP = 90\degree \:(given)$

$\implies 2\angle ROS = \angle QOS - \angle POS$

$\implies \angle ROS = \frac{1}{2} [\angle QOS - \angle POS ]$

$Hence , proved .$

•••♪