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SSC CGL 2021 PYQ — Question 74

SSC CGL - 18 Aug 2021 - Shift 2 • Quantitative Aptitude • Q74

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In Δ\DeltaABC, AB and AC are produced to points D and E respectively. If the bisectors of angle CBD and angle BCE meet at point O, such that ∠\angleBOC = 63º, then ∠\angleA = ?

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Correct answer: C

Explanation

The correct answer is option 3 i.e. 54º

⇒ ∠\angleBOC = 90 - 1/2 × ∠\angle BAC

⇒ 63 - 90 = - 1/2 × ∠\angle BAC.

⇒ -27 × 2 =  - ∠\angle BAC

⇒ ∠\angle BAC = 54°