The figure is not drawn to scale. Triangle UVT is an isosceles triangle. Triangle RST is an equilateral triangle. ∠VTU is
15 of ∠SRT and ∠STV = ∠RTU.
- Find ∠STV.
- Find ∠RUT.
(a)
∠STR = 60° (Equilateral triangle)
∠VTU
= ∠STR x
15 = 60° x
15 = 12°
∠STV = ∠RTU
∠STV
= ∠STR - ∠VTA) ÷ 2
= (60° - 12°) ÷ 2
= 48° ÷ 2
= 24° (Isosceles triangle)
(b)
∠RUT
= 180° - ∠SRT - ∠STV
= 180° - 60° - 24°
= 96° (Angles sum of triangle)
Answer(s): (a) 24°; (b) 96°