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SSC CGL 2022 PYQ — Question 47

SSC CGL Tier II - Quant - 3 Feb 2022 • Quantitative Aptitude • Q47

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AB is a chord in the minor segment of a circle with centre O. C is a point on the minor arc (between A and B). The tangents to the circle at A and B meet at a point P. If ∠\angleACB = 108º, then ∠\angleAPB is equal to:

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Correct answer: A

Explanation

The correct answer is option 1 i.e. 36º.

∠\angleACB = 108°

∠\angleACB +   ∠\angleADB = 180°

∠\angleADB = 180 - 108 = 72°.

∠\angleAOB = 2 ×   ∠\angleADB

∠\angleAOB = 2 × 72 = 144°.

∠\angleAOB +  ∠\angleAPB = 180

∠\angleAPB = 180 - 144 = 36°.