Question

The ray OS line in the figure is perpendicular to POQ, the rays OR and OT are respectively POS and SOQ.
Is bisector if POS = x, find ROT.
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Answer 1

Step-by-step explanation:

According to the diagram angle POR is equal to angle ROS

let angle por be x ....

Therefore angle pos =2x .....(1)

angle SOT=angle TOQ

let angle sot be y.......

Therefore angle soq = 2y .......(2)

from (1) & (2)

angle POS + angle SOQ = 180°

2x +2y =180°

2(x+y)=180°

x+y=90°.......(3)

POR=ROS=x

Therefore ROS=x.....(4)

SOT=SOQ=y

Therefore SOT=y....(5)

ROT=ROS+SOT

From (4) & (5)

ROT=x+y

From (3)

ROT=90°

HOPE YOU UNDERSTAND......