In the figure, UWY and VWX are straight lines. WU = WV and XW = XY. If ∠VUW = 57°, find
- ∠UWX
- ∠WXY
(a)
∠UWX
= 57° + 57°
= 114° (Exterior angle of a triangle)
(b)
∠XWY
= 180° - 114°
= 66° (Angles on a straight line)
∠WXY
= 180° - 66° - 66°
= 48° (Isosceles triangle)
Answer(s): (a) 114°; (b) 48°