In the given figure, PQRS is a cyclic qu

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

In the given figure, PQRS is a cyclic quadrilateral. What is the measure of the angle PQR if PQ is parallel to SR?

Options:

75°

105°

110°

60°

Correct Answer:

105°

Explanation:

∠P + ∠R = 180° (opposite angle of cyclic quadrilateral)

∠SRQ = 180° - 105° = 75°

∠R+∠Q = 180° (PQ llRS)

∠PQR = 180° - 75° = 105°