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Question

PQRS is a cyclic quadrilateral. Given QPS =73o, PQS=55o and PSR=82o, calculate QRS.
793888_f8554bba0352428e91e2492c6f6e994e.png

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Solution

In a cyclic quadrilateral, the sum of opposite angles is 180 degrees, so
QRS+QPS=180oQRS=180o73o=107o

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