Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

In a circle with center O, PQR is a tangent at the point Q on it.  AB is a chord in the circle parallel to the tangent such that ∠BQR = 50°.  What is the measure of ∠AQB?

Options:

100°

50°

80°

150°

Correct Answer:

80°

Explanation:

AB ll PR

∠BAQ = 50° (Alternate segment)

∠ABQ = 50° (Alternate angle)

∠AQB = 180° - 100° = 80°