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Question

In the given figure, PQRS is a cyclic quadrilateral. Its diagonals PR and QS intersect each other at T. If PRS=80andRQS=50, calculate PSR.
327976_958b284dda4446ddacd651e56258750b.png

A
30
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B
50
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C
70
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D
90
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Solution

The correct option is B 50
Given:PQRS is a cyclic quadilateral.PRS=80o....(1)RQS=50oRQS=RPS (Angles in the same segment are equal)RPS=50o...(2)InPSRPRS+RPS+PSR=180o (Angle sum property)80o+50o+PSR=180o (From (1) and (2))PSR=180o130o PSR=50oHence option (B) is right

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