In the figure, UWY and VWX are straight lines. WU = WV and XW = XY. If ∠VUW = 54°, find
- ∠UWX
- ∠WXY
(a)
∠UWX
= 54° + 54°
= 108° (Exterior angle of a triangle)
(b)
∠XWY
= 180° - 108°
= 72° (Angles on a straight line)
∠WXY
= 180° - 72° - 72°
= 36° (Isosceles triangle)
Answer(s): (a) 108°; (b) 36°