ABCD is a cyclic quadrilateral . F

CUET Preparation Today

Start Free Mocks

Home Questions YR8AWDTRM8

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

ABCD is a cyclic quadrilateral . Find the value of $y$ :

Options:

116°

38°

64°

76°

Correct Answer:

64°

Explanation:

∠CDA = 180° - 116° = 64°

ABCD is a cyclic quadrilateral,

So, ∠CDA + ∠CBA = 180°

∠CBA = 180° - 64°

∠CBA = 116°

Now,

∠OBC + ∠OBA = 116°

52° + ∠OBA = 116°

∠OBA = 116° - 52°

= 64°

The correct answer is option (2) : 64°