To a circle with centre at O, two tangen

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Home Questions 4ERFPDSK68

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

To a circle with centre at O, two tangents AP and AQ are drawn from an external point A. If the ∠PAQ = 80°, then the ∠POQ is :

Options:

90°

80°

70°

100°

Correct Answer:

100°

Explanation:

We have,

∠PAQ = 80°

∠PAQ + ∠OPA + ∠OQA + ∠POQ = 360°

= 80° + 90° + 90° + ∠POQ = 360°

= ∠POQ = 360° - 260°

= ∠POQ = 100°