SSC CHSL 2023 PYQ — Question 59

SSC CHSL - 17 Aug 2023 - Shift 2 • Quantitative Aptitude • Q59

Triangle ABC is an isosceles triangle with AB = AC. If angle BAC = 50°, then the degree measure of angle ABC is equal to:

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 65°.

In an isosceles triangle ABC with AB = AC, the base angles ∠ABC and ∠ACB are equal.

Given ∠BAC = 50°,

Sum of angles in a triangle = 180°

So, ∠ABC + ∠ACB = 180° − 50° = 130°

Since ∠ABC = ∠ACB = x,

2x = 130° → x = 65°