SarkariPYQ

SSC CGL 2023 PYQ — Question 71

SSC CGL - 20 July 2023 - Shift 3 • Quantitative Aptitude • Q71

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In a circle with center O, PA and PB are the tangents at A and B, respectively, from an external point P. If ∠APB = 24°, then find ∠AOB.

 

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Correct answer: C

Explanation

The correct answer is option 3 i.e. 156°.

Given that

PA and PB are the tangents at A and B, respectively, from an external point P

 If ∠\angleAPB = 24°,

According to the question

As we know, 

⇒ ∠\angleAOB = 180° - ∠\angleAPB

⇒ ∠\angleAOB = 180° - 24° = 156°