Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

AB is a chord in the minor segment of a circle with center O. C is a point on the minor arc (between A and B). The tangents to the circle at A and B meet at a point P. If ∠ACB = 104°, then ∠APB is equal to ?

Options:

28°

36°

40°

54°

Correct Answer:

28°

Explanation:

Here note the direct result:

∠APB = 2 ∠ACB - 180°

Hence,

∠APB = 2 (104°)- 180° = 208° - 180° = 28°