Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

To a circle with center at O, two tangents AP and AQ are drawn from an external point A, if the ∠PAQ = 113 degree, then the ∠POQ is?

Options:

67°

113°

247°

95°

Correct Answer:

67°

Explanation:

In APOQ

∠OPA = ∠OQA = 90° (tangents)

Therefore, ∠POQ = 180° - ∠A

∠POQ = 180° - 113° = 67°