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Question

In the figure, PQ is a tangent at a point R of the circle with centre O. If ∠TRQ = 30o.The measure of ∠PRS is


A

45o

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B

120o

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C

90o

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D

60o

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Solution

The correct option is D

60o


∠TRQ = 30o, ∠SRT = 90o (angle in a semi- circle)

∠TRQ + ∠SRT + ∠PRS = 180o => ∠PRS = 60o


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