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In Figure, P O Q is a line. Ray O R is p...

In Figure, `P O Q` is a line. Ray `O R` is perpendicular to lien `P QdotO S` is another ray lying between rays `O P\ a n d\ O Rdot` Prove that `/_R O S=1/2(/_Q O S-/_P O S)`

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`anglePOR+angleROQ=180^o`
`angleROP=angleROQ=90^o`
`angleSOQ=anfleROS+angleROQ`
`angleROS=angleSOQ-angleROQ -(1)`
`angleROP=angleROS+anglePOS
`angleROS=angleROP-anglePOS-(2)
adding 1 and 2
`angleROS+angleROS=angleSOQ+angleROP-angleROQ-anglePOS` ...
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