Inside a square PQRS, ΔQRT is an equilateral triangle, if RT and QS intersect at O, then ∠QOR is equal to?
Answer & explanation
Correct answer: option 3
In ΔTQR: all angles = 60° (equilateral Δ)
∠OQR = 45° [angle by diagonal]
⇒ In ΔOQR:
∠QOR + ∠OQR + ∠QRO = 180°
∠QOR + 45° + 60° = 180°
∴ ∠QOR = 75°