The figure is not drawn to scale. Triangle VWU is an isosceles triangle. Triangle STU is an equilateral triangle. ∠WUV is
15 of ∠TSU and ∠TUW = ∠SUV.
- Find ∠TUW.
- Find ∠SVU.
(a)
∠TUS = 60° (Equilateral triangle)
∠WUV
= ∠TUS x
15 = 60° x
15 = 12°
∠TUW = ∠SUV
∠TUW
= ∠TUS - ∠WUA) ÷ 2
= (60° - 12°) ÷ 2
= 48° ÷ 2
= 24° (Isosceles triangle)
(b)
∠SVU
= 180° - ∠TSU - ∠TUW
= 180° - 60° - 24°
= 96° (Angles sum of triangle)
Answer(s): (a) 24°; (b) 96°