Question

plz answer step by step. ​

Answer 1

Step-by-step explanation:

To proove : <ROP + <TOQ = 90 degrees

Angle PSO + angle SOQ = 180 degrees ( Linear pair )

Now it is given that OR and OS are angle bisectors.

Hence,

ANGLE ROP = ROS =X. ------1

and angle SOT = TOQ =Y. ------2

hence

2X + 2Y = 180 degrees

X + Y = 90 degrees

which implies angle POR + QOT = 90. (FROM 1 AND 2)

Hence proved

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