PSLEIn the figure, QRST is a straight line, RTUV is a parallelogram and US = UV. ∠VQR is a right angle, ∠QVR = 33° and ∠TUS = 21°.
- Find ∠w.
- Find ∠x.
(a)
∠VQR = 90° (Right angle)
∠w
= 90° + 33°
= 123° (Exterior angle of a triangle)
(b)
∠TUV = ∠TRV = 123° (Parallelogram)
∠SUV
= 123° - 21°
= 102°
∠x
= (180° - 102°) ÷ 2
= 39° (Isosceles triangle)
Answer(s): (a) 123°; (b) 39°