The figure is not drawn to scale. UV//XW and WV//YU. Triangles UYV and VWX are isosceles triangles. Find
- ∠y
- ∠z.
(a)
∠VWX = ∠VUY = 76° (WV//YU, VU//WX)
∠UVY
= (180° - 76°) ÷ 2
= 104° ÷ 2
= 52° (Isosceles triangle)
∠WVX
= 180° - 76° - 76°
= 28° (Isosceles triangle)
∠y
= 180° - 76° - 52° - 28°
= 24° (Interior angles, VU//WX)
(b)
∠z
= 180° - 25° - 24°
= 131° (Angles sum of triangle)
Answer(s): (a) 24°; (b) 131°
