Math, asked by ddsjfamily12, 6 months ago


In figure, POQ is a line.
Ray OR is perpendicular to line PQ-
OS is another ray lying between rays OP and OR
Prove that _ROS= }(<QOS – ZPOS
o​

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Answered by sneha112251
12

Answer:

ANSWER

∠ROS=90∘−∠POS−(i)

∠QOS=∠QOR+∠ROS=90∘+∠ROS

⇒90∘=∠QOS−∠ROS−(ii)

Substituting (ii) in (i) we get

∠ROS=∠QOS−∠ROS−∠POS

⇒2∠ROS=∠QOS−∠POS

⇒∠ROS=21(∠QOS−∠POS)

Hence proved.

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Answered by pari11776
1

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