PSLEUVWX is a parallelogram, UWY is an equilateral triangle and WX = XY.
- Find ∠UWX.
- Find ∠WXU.
- Find ∠YUV.
(a)
WX = XY
Triangle WXY is an isosceles triangle.
∠XWY
= (180° - 130°) ÷ 2
= 50° ÷ 2
= 25° (Isosceles triangle)
∠UWX
= 60° - 25°
= 35° (Equilateral triangle)
(b)
∠UYX
= 60° - 25°
= 35° (Equilateral triangle)
∠UXY
= 180° - 35° - 25°
= 120° (Angles sum of triangle)
∠UXW
= 360° - 130° - 120°
= 110° (Angles at a point)
∠VUW
= ∠UWX
= 35° (Alternate angles)
∠VUY
= 60° + 35°
= 95°
Answer(s): (a) 35°; (b) 110°; (c) 95°
