The figure is not drawn to scale. UV//XW and WV//YU. Triangles UYV and VWX are isosceles triangles. Find
- ∠p
- ∠q.
(a)
∠VWX = ∠VUY = 72° (WV//YU, VU//WX)
∠UVY
= (180° - 72°) ÷ 2
= 108° ÷ 2
= 54° (Isosceles triangle)
∠WVX
= 180° - 72° - 72°
= 36° (Isosceles triangle)
∠p
= 180° - 72° - 54° - 36°
= 18° (Interior angles, VU//WX)
(b)
∠q
= 180° - 27° - 18°
= 135° (Angles sum of triangle)
Answer(s): (a) 18°; (b) 135°