PSLERSTU is a parallelogram, RTV is an equilateral triangle and TU = UV.
- Find ∠RTU.
- Find ∠TUR.
- Find ∠VRS.
(a)
TU = UV
Triangle TUV is an isosceles triangle.
∠UTV
= (180° - 136°) ÷ 2
= 44° ÷ 2
= 22° (Isosceles triangle)
∠RTU
= 60° - 22°
= 38° (Equilateral triangle)
(b)
∠RVU
= 60° - 22°
= 38° (Equilateral triangle)
∠RUV
= 180° - 38° - 22°
= 120° (Angles sum of triangle)
∠RUT
= 360° - 136° - 120°
= 104° (Angles at a point)
∠SRT
= ∠RTU
= 38° (Alternate angles)
∠SRV
= 60° + 38°
= 98°
Answer(s): (a) 38°; (b) 104°; (c) 98°