PSLEIn the figure, QRST is a straight line, RTUV is a parallelogram and US = UV. ∠VQR is a right angle, ∠QVR = 23° and ∠TUS = 21°.
- Find ∠w.
- Find ∠x.
(a)
∠VQR = 90° (Right angle)
∠w
= 90° + 23°
= 113° (Exterior angle of a triangle)
(b)
∠TUV = ∠TRV = 113° (Parallelogram)
∠SUV
= 113° - 21°
= 92°
∠x
= (180° - 92°) ÷ 2
= 44° (Isosceles triangle)
Answer(s): (a) 113°; (b) 44°