Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

In a circle with center O, an arc ABC subtends an angle of 142° at the center of the circle.  Chord AB is produced to point P, then ∠CBP is equal to?

Options:

99°

71°

119°

121°

Correct Answer:

71°

Explanation:

∠ADC = \(\frac{142}{2}\) = 71°

∠ABC = 180° - 71° = 109° (cyclic quad.)

∠CBP = 180° - 109° = 71°