SSC CGL 2020 PYQ — Question 66

SSC CGL - 6th March 2020 Shift 2 • Quantitative Aptitude • Q66

In the given figure, if ∠APO = 35o, then which of the following options is correct?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is Option 3 i.e ∠BPO = 35o

Understanding/Application

∠APO = 35o

AP and BP are the tangents to the circle from the exterior point P.

The line from the centre to the exterior point bisects the angle formed from two tangents.

∠APO = ∠BPO

∠BPO = 35o

Hence,

∠APB = ∠APO + ∠BPO = 35 + 35 = 70o