The figure is not drawn to scale. Triangle WXV is an isosceles triangle. Triangle TUV is an equilateral triangle. ∠XVW is
25 of ∠UTV and ∠UVX = ∠TVW.
- Find ∠UVX.
- Find ∠TWV.
(a)
∠UVT = 60° (Equilateral triangle)
∠XVW
= ∠UVT x
25 = 60° x
25 = 24°
∠UVX = ∠TVW
∠UVX
= ∠UVT - ∠XVA) ÷ 2
= (60° - 24°) ÷ 2
= 36° ÷ 2
= 18° (Isosceles triangle)
(b)
∠TWV
= 180° - ∠UTV - ∠UVX
= 180° - 60° - 18°
= 102° (Angles sum of triangle)
Answer(s): (a) 18°; (b) 102°