The figure is not drawn to scale. Triangle WXV is an isosceles triangle. Triangle TUV is an equilateral triangle. ∠XVW is
15 of ∠UTV and ∠UVX = ∠TVW.
- Find ∠UVX.
- Find ∠TWV.
(a)
∠UVT = 60° (Equilateral triangle)
∠XVW
= ∠UVT x
15 = 60° x
15 = 12°
∠UVX = ∠TVW
∠UVX
= ∠UVT - ∠XVA) ÷ 2
= (60° - 12°) ÷ 2
= 48° ÷ 2
= 24° (Isosceles triangle)
(b)
∠TWV
= 180° - ∠UTV - ∠UVX
= 180° - 60° - 24°
= 96° (Angles sum of triangle)
Answer(s): (a) 24°; (b) 96°