PSLEIn the figure, QRST is a straight line, RTUV is a parallelogram and US = UV. ∠VQR is a right angle, ∠QVR = 28° and ∠TUS = 12°.
- Find ∠w.
- Find ∠x.
(a)
∠VQR = 90° (Right angle)
∠w
= 90° + 28°
= 118° (Exterior angle of a triangle)
(b)
∠TUV = ∠TRV = 118° (Parallelogram)
∠SUV
= 118° - 12°
= 106°
∠x
= (180° - 106°) ÷ 2
= 37° (Isosceles triangle)
Answer(s): (a) 118°; (b) 37°