PSLEIn the figure, STUV is a straight line, TVWX is a parallelogram and WU = WX. ∠XST is a right angle, ∠SXT = 32° and ∠VWU = 12°.
- Find ∠y.
- Find ∠z.
(a)
∠XST = 90° (Right angle)
∠y
= 90° + 32°
= 122° (Exterior angle of a triangle)
(b)
∠VWX = ∠VTX = 122° (Parallelogram)
∠UWX
= 122° - 12°
= 110°
∠z
= (180° - 110°) ÷ 2
= 35° (Isosceles triangle)
Answer(s): (a) 122°; (b) 35°