SSC CPO 2023 PYQ — Question 116

The correct answer is option 2 i.e. 47º

∠P = 90°,∠R = 47° and PS⊥QR.

From the following figure;

In ΔPQR,

⇒ ∠P + ∠Q + ∠R = 180

⇒ 90 + ∠Q + 47 = 180

⇒ ∠Q = 180 - 137 = 43

Now, in ΔQPS

⇒ ∠Q + ∠S + ∠QPS = 180

⇒ 43 + 90 + ∠QPS = 180

⇒ ∠QPS = 180 - 133

⇒ ∠QPS = 47