Inside a square PQRS, ΔQRT is an e

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

Inside a square PQRS, ΔQRT is an equilateral triangle, if RT and QS intersect at O, then ∠QOR is equal to?

Options:

60°

45°

75°

90°

Correct Answer:

75°

Explanation:

In ΔTQR: all angles = 60° (equilateral Δ)

∠OQR = 45° [angle by diagonal]

⇒ In ΔOQR:

∠QOR + ∠OQR + ∠QRO = 180°

∠QOR + 45° + 60° = 180°

∴ ∠QOR = 75°