PSLEIn the figure, STUV is a straight line, TVWX is a parallelogram and WU = WX. ∠XST is a right angle, ∠SXT = 25° and ∠VWU = 19°.
- Find ∠y.
- Find ∠z.
(a)
∠XST = 90° (Right angle)
∠y
= 90° + 25°
= 115° (Exterior angle of a triangle)
(b)
∠VWX = ∠VTX = 115° (Parallelogram)
∠UWX
= 115° - 19°
= 96°
∠z
= (180° - 96°) ÷ 2
= 42° (Isosceles triangle)
Answer(s): (a) 115°; (b) 42°