Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

In the following figure, if the chord AB subtends double the angle that is subtended by chord CD at the center O and the angle ∠AEB = 3∠AOB, then ∠COD is equal to?

Options:

45°

22.5°

90°

35°

Correct Answer:

22.5°

Explanation:

In quadrilateral AOBE

∠OAE = ∠OBE = 90° (tangents)

3x + x = 180°

So, x = 45°

∠COD = \(\frac{x}{2}\) = \(\frac{45}{2}\) = 22.5°