The figure is not drawn to scale. Triangle UVT is an isosceles triangle. Triangle RST is an equilateral triangle. ∠VTU is
35 of ∠SRT and ∠STV = ∠RTU.
- Find ∠STV.
- Find ∠RUT.
(a)
∠STR = 60° (Equilateral triangle)
∠VTU
= ∠STR x
35 = 60° x
35 = 36°
∠STV = ∠RTU
∠STV
= ∠STR - ∠VTA) ÷ 2
= (60° - 36°) ÷ 2
= 24° ÷ 2
= 12° (Isosceles triangle)
(b)
∠RUT
= 180° - ∠SRT - ∠STV
= 180° - 60° - 12°
= 108° (Angles sum of triangle)
Answer(s): (a) 12°; (b) 108°