In equilateral ΔPQR, S and T are points on the PQ and PR, respectively, such that PS = RT. QT and RS intersect at O. The measure of ∠ROQ is ? |
90° 100° 150° 120° |
120° |
ΔRQT ≅ ΔPRS ∴ PS = RT ∠QRT = ∠SPR = 60° QT = SR ∴ S and T are mid points ∠TQR = ∠QRS = 30° ∠QOR = 180° - 30° - 30° = 120° |