PSLE In the figure, WXYZ is a parallelogram. UZW and VZY are straight lines and UV = VW. ∠UVZ = 31° and ∠XYZ = 59°.
- Find ∠YZW.
- Find ∠ZVW.
(a)
∠YZW
= 180° - 59°
= 121° (Interior angles)
(b)
∠UZV
= ∠YZW
= 121° (Vertically opposite angles)
∠VUZ
= 180° - 121° - 31°
= 28° (Angles sum of triangle)
∠VWZ = ∠VUZ (Isosceles triangle)
∠UVW
= 180° - 28° - 28°
= 124° (Angles sum of triangle)
∠ZVW
= 124° - 31°
= 93°
Answer(s): (a) 121°; (b) 93°