SSC CGL 2025 PYQ — Question 58

SSC CGL - 16 Sep 2025 - Shift 3 • Quantitative Aptitude • Q58

The angle bisectors of ΔABC converge at the incenter I. Given that the measure of ∠BIC is 125°, what is the measure of ∠BAC?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 70°.

∠BIC = 125°, I is incenter.

∠BIC = 90° + ∠A/2

⇒ 125° = 90° + A/2

⇒ A/2 = 35°

⇒ ∠A = 70°