In the given figure, PQ = PS and QR = RS. The measure of QPS is 230 and PQR is 25.

What is the measure of QRS?

In  PQR and  PSRPQ = PS  givenQR = RS  givenPR = PR  given  PQR  PSR   SSS PQR = PSR  CPCT  PSR = 25°Also, QPR = SPR  CPCT  .............1Also, QRP = SRP  CPCT  ..............2Now, QPS = 230° QPR = SPR = 12 × 230° = 115°   Using 2In  PQR,QPR + PQR + QRP = 180° Angle Sum Property 115° + 25° + QRP = 180° QRP = 180° - 140° = 40° SRP = 40°   Using 2Now, QRS = QRP + SRP = 40° + 40° = 80°

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