3. In the adjoining figure PQ is a diameter. If RS// PQ and Z RSP = 40°find measure of Z PRS
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Answer:
(1) ∠QPR=180
∘
∠PRQ−∠RQP
∠QPR=180
∘
−90
∘
−65
∘
=25
∘
(2) ∠QPM=180
∘
∠PMQ−∠PQM
∠QPM=180
∘
−90
∘
−50
∘
=40
∘
(3) ∠PSR=180
∘
−∠PQR
=180
∘
−65
∘
=115
∘
∠PRS=180
∘
∠SPR−∠PSR
∠PRS=180
∘
−40
∘
−11
∘
=15
∘
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