a cyclic quadrilateral pqrs where PS equals to PQ and angle as PQ is 70 degree find angle psq
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⇒ ∠QPR=35o [ Given ]
⇒ ∠PRQ=90o [ Angle inscribed in semi-circle ]
⇒ ∠QPR+∠PRQ+∠RQP=180o [ Sum of interior angles of triangle is 180o ]
⇒ 35o+90o+∠RQP=180o
∴ 125o+∠RQP=180o
∴ ∠RQP=55o
⇒ ∠PSR+∠RQP=180o [ Sum of pair of opposite angles of cyclic quadrilateral is 180o ]
∴ ∠PSR+55o=180o
∴ ∠PSR=180o−55o
∴ ∠PSR=125o
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