SSC CGL Model Paper 9

∠SQT = 180° - 70° - 50° = 60°
∠QSP = 180° - 70° = 110°
∠PQS = ∠QPS [QS = PS]
⇒ ∠PQS + ∠QPS + 110 = 180°
⇒ ∠PQS = 35°
Similarly,
∠TQR = ∠TRQ
∠TQR + ∠TRQ = 50°
⇒ ∠TQR = 25°
Thus, ∠PQR = 25° + 35° + 60° = 120°