SSC CHSL 2020 PYQ — Question 62

SSC CHSL - 19th October 2020 - Shift 3 • Quantitative Aptitude • Q62

In ΔABC, AB = AC and ∠BAC is 50o. Then ∠ABC and ∠BCA are, respectively:

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e 65o and 65o

Understanding/Application 

ΔABC, AB = AC

Angle opposite to equal sides in a triangle are equal.

∠BCA = ∠ABC

Let ∠BCA = ∠ABC = x

In ΔABC -

∠BCA + ∠ABC + ∠BAC = 180

x + x + 50 = 180

2x = 130

x = 65