PSLE In the figure, WXYZ is a parallelogram. UZW and VZY are straight lines and UV = VW. ∠UVZ = 27° and ∠XYZ = 56°.
- Find ∠YZW.
- Find ∠ZVW.
(a)
∠YZW
= 180° - 56°
= 124° (Interior angles)
(b)
∠UZV
= ∠YZW
= 124° (Vertically opposite angles)
∠VUZ
= 180° - 124° - 27°
= 29° (Angles sum of triangle)
∠VWZ = ∠VUZ (Isosceles triangle)
∠UVW
= 180° - 29° - 29°
= 122° (Angles sum of triangle)
∠ZVW
= 122° - 27°
= 95°
Answer(s): (a) 124°; (b) 95°