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SSC CGL 2021 PYQ — Question 72

SSC CGL - 17 Aug 2021 - Shift 2 • Quantitative Aptitude • Q72

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In ∆ABC, AD ⊥ BC at D and AE is the bisector of ∠A. If ∠B = 62° and ∠C = 36°, then what is the measure of ∠DAE?

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Correct answer: D

Explanation

The correct answer is Option 4 i.e 13°.

Here AE is the angle bisector of ∠\angleA

∠\angleA + ∠\angleB + ∠\angleC = 180°

∠\angleA = 180 - 62 - 36 = 82°.

∠\angleBAE = ∠\angleEAC = 41°.

∠\angleBAD = 180 - 62 - 90 = 28°.

∠\angleDAE = 41 - 28 = 13°.