SSC CHSL 2022 PYQ — Question 66

SSC CHSL - 26 May 2022 - Shift 1 • Quantitative Aptitude • Q66

If triangles ABC and PQR are both isosceles with AB=AC and PQ=PR, respectively. If also AB=PQ and BC=QR and angle B=50°, then what is the measure of angle R?
 

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 50°

AB = AC

PQ = PR

angle B = angle C = 50º

angle Q = angle R 

AB = PQ

BC = QR

Therefore, AC = PR

by using SSS

triangle ABC is congruent to triangle PQR

Thus, angle B = angle C = angle R = 50º