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SSC CHSL 2019 PYQ — Question 56

SSC CHSL - 9th July 2019 - Shift 1 • Quantitative Aptitude • Q56

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ABCD is a cyclic quadrilateral such that AB is a diameter of the circle circumscribing it and ∠ADC = 126°. ∠BAC is equal to:

Show answer & explanation

Correct answer: B

Explanation

Correct Answer is option 2 i.e. 36°

Concept

Understanding

Application

Sum of opposite angles of a cyclic quadrilateral is 180°.

The angle subtended by diameter at the circumference is 90° always.

Given:

∠ADC = 126°

And

∠ACB will be 90°

Then,

∠ABC = 180 – 126 = 54°

In triangle ABC:

∠CAB = 180 – 54 – 90

∠CAB = 36°