1.

In the given figure, m∠Q = 51°, m∠QSR = 102° and ΔSQR = ΔRQP. What is m∠PRS ?(A) 65° (B) 70° (C) 75° (D) 80° 

Answer»

The correct option is (C) 75°

Explanation:

Δ SQR ~ Δ RQP

∠ SQR = ∠ RQP = 51° 

∠ QRS =∠ QPR = 180° – (102 + 51°) = 27° 

∠ RSQ = ∠ PRQ = 102° 

Now ∠ PRS =∠ PRQ – ∠ SRQ 

= 102° – 27° = 75



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