Points P, Q, R and S lie on a circle. PQ = QR . If ∠ PQR = 116°, find ∠QSR
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∠QSR = 32° if Points P, Q, R and S lie on a circle. PQ = QR .& ∠ PQR = 116°
Step-by-step explanation:
in Δ PQR
PQ = PR
=> ∠QPR = ∠QRP
∠PQR = 116°
∠PQR + ∠QPR + ∠QRP = 180°
=> 116° + ∠QPR + ∠QRP = 180°
=> ∠QPR + ∠QRP = 64°
∠QPR = ∠QRP
=> ∠QPR = 32°
∠QSR = ∠QPR ( angle subtended by same chord QR on same side of arc segment)
=> ∠QSR = 32°
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