SSC CGL 2020 PYQ — Question 59

SSC CGL - 3rd March 2020 Shift 3 • Quantitative Aptitude • Q59

In ΔABC, if AB = AC and ∠BAC = 400, then the measure of ∠B is:

Show answer & explanation

Correct answer: C

Explanation

The correct answer is Option 3 i.e. 70o.

Understanding/Application

AB = AC 

Since the two sides of the triangle are equal it is an isosceles triangle.

Angles opposite to the equal sides of the isosceles triangle are equal.

∠BAC = 400

Acc. to the triangle sum property:

x + x + 400 = 1800

⇒ 2x = 1400

⇒ x = 700

Hence,

∠B = 700