The figure is not drawn to scale. Triangle VWU is an isosceles triangle. Triangle STU is an equilateral triangle. ∠WUV is
25 of ∠TSU and ∠TUW = ∠SUV.
- Find ∠TUW.
- Find ∠SVU.
(a)
∠TUS = 60° (Equilateral triangle)
∠WUV
= ∠TUS x
25 = 60° x
25 = 24°
∠TUW = ∠SUV
∠TUW
= ∠TUS - ∠WUA) ÷ 2
= (60° - 24°) ÷ 2
= 36° ÷ 2
= 18° (Isosceles triangle)
(b)
∠SVU
= 180° - ∠TSU - ∠TUW
= 180° - 60° - 18°
= 102° (Angles sum of triangle)
Answer(s): (a) 18°; (b) 102°