SSC CGL 2019 PYQ — Question 66

SSC CGL - 4th June 2019 - Shift 3 • Quantitative Aptitude • Q66

ABCD is a cyclic quadrilateral in which ∠A = 67° and ∠B = 92°. What is the difference between the measures of ∠C and ∠D?

Show answer & explanation

Correct answer: C

Explanation

Correct Answer is option 3 i.e. 25°

Concept

Understanding

Application

In cyclic quadrilateral:

Sum of opposite angles = 180°

Given

∠A = 67° and ∠B = 92° 

Hence, ∠C = 180 – 67 = 113°

And

∠D = 180 – 92 = 88°

Hence,

∠C – ∠D = 113 – 88 = 25°