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In Fig. 6.17, POQ is a line. Ray OR is ...

In Fig. 6.17, POQ is a line. Ray OR is perpendicular to line PQ. OS is another ray lying between rays OP and OR. Prove that `/_R O S=1/2(/_Q O S-/_P O S)dot`

Text Solution

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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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