Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

In the figure

'G' is the centre of the circle. Find the angle ACB when ∠AGN = 150°.

Options:

50°

60°

65°

75°

Correct Answer:

75°

Explanation:

We know that,

The angle made by the chord at centre is double the angle made by it in a major segment of the circle.

We have,

∠AGB = 150°

∠AGB = 2 × ∠ACB

= 150° = 2 × ∠ACB

= ∠ACB = 75°