ABCD is cyclic quadrilateral in which &a

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

ABCD is cyclic quadrilateral in which ∠A = 55° and ∠B = 95°. What is the difference between the measures of ∠C and ∠D?

Options:

40°

85°

125°

55°

Correct Answer:

40°

Explanation:

∠D = 180° - ∠B = 85° (cyclic quadrilateral)

∠C = 180° - ∠A = 125°

∠C - ∠D = 125° - 85° = 40°