SSC CGL 2022 PYQ — Question 69

SSC CGL - 12 April 2022 - Shift 3 • Quantitative Aptitude • Q69

In a circle, ABCD is a cyclic quardilateral. Ac and Bd intersect each other at P. If AB and ∠BAC = 38°, then the measure of ∠ADC is

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Correct answer: D

Explanation

The correct answer is option 4 i.e.114°

If AB = AC, then triangle ABC is an isosceles triangle.

If angle(BAC) = 38°

Then, angle(ABC) = angle(BCA) = 66°

In a cyclic quadrilateral, The sum of opposite angles is 180

If angle(ABC) = 66° , then angle(ADC) = 114°