S is the incentre of ΔPQR, If ∠PSR = 125°, then the measure of ∠PQR is:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 70°
Points to remember:
∠AIC = 90° + 1/2∠B
∠AIB = 90° + 1/2∠C
∠AIC = 90° + 1/2∠A
Now,
∠PSR = 90° + 1/2 × ∠PQR
⇒ 125° = 90° + 1/2 × ∠PQR
⇒ 1/2 × ∠PQR = 35°
⇒ ∠PQR = 70°