Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

PA and PB are two tangents from a point P outside the circle with centre O at the points A and B on it. If ∠APB = 130°, then ∠OAB is equal to:

Options:

45°

50°

35°

65°

Correct Answer:

65°

Explanation:

\(\angle\)OAB = \(\angle\)OBA = \(\frac{1}{2}\) x \(\angle\)APB

= \(\angle\)OAB = \(\frac{1}{2}\) x 130 = \({65}^\circ\)

Therefore, \(\angle\)OAB is \({65}^\circ\).