The figure is not drawn to scale. Triangle XYW is an isosceles triangle. Triangle UVW is an equilateral triangle. ∠YWX is
15 of ∠VUW and ∠VWY = ∠UWX.
- Find ∠VWY.
- Find ∠UXW.
(a)
∠VWU = 60° (Equilateral triangle)
∠YWX
= ∠VWU x
15 = 60° x
15 = 12°
∠VWY = ∠UWX
∠VWY
= ∠VWU - ∠YWA) ÷ 2
= (60° - 12°) ÷ 2
= 48° ÷ 2
= 24° (Isosceles triangle)
(b)
∠UXW
= 180° - ∠VUW - ∠VWY
= 180° - 60° - 24°
= 96° (Angles sum of triangle)
Answer(s): (a) 24°; (b) 96°