PSLEIn the figure, QRST is a straight line, RTUV is a parallelogram and US = UV. ∠VQR is a right angle, ∠QVR = 30° and ∠TUS = 12°.
- Find ∠w.
- Find ∠x.
(a)
∠VQR = 90° (Right angle)
∠w
= 90° + 30°
= 120° (Exterior angle of a triangle)
(b)
∠TUV = ∠TRV = 120° (Parallelogram)
∠SUV
= 120° - 12°
= 108°
∠x
= (180° - 108°) ÷ 2
= 36° (Isosceles triangle)
Answer(s): (a) 120°; (b) 36°