PQRS is a cyclic quadrilateral QR is extended to X Angle SRX=100degrees, angle RPS=50degrees Find angle RPQ - Maths - Circles

Question

PQRS is a cyclic quadrilateral QR is extended to X Angle
SRX=100degrees, angle RPS=50degrees Find angle RPQ ​

Rishabh Mittal · Accepted Answer

Dear Student ,

Please find below the solution to the asked query :

∠SRX + ∠SRQ=180°       Linear Pair 100° + ∠SRQ=180°∠SRQ=80°∠SRQ + ∠SPQ=180°          Opposite angles of cyclic quadrilateral are supplementary 80° + ∠SPQ=180°∠SPQ=100°∠RPS + ∠RPQ=100°50° + ∠RPQ=100°∠RPQ=50°    ANS
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PQRS is a cyclic quadrilateral.QR is extended to X. Angle SRX=100degrees, angle RPS=50degrees. Find angle RPQ.​

PQRS is a cyclic quadrilateral.QR is extended to X. Angle SRX=100degrees, angle RPS=50degrees. Find angle RPQ.