PSLESTUV is a parallelogram, SUW is an equilateral triangle and UV = VW.
- Find ∠SUV.
- Find ∠UVS.
- Find ∠WST.
(a)
UV = VW
Triangle UVW is an isosceles triangle.
∠VUW
= (180° - 150°) ÷ 2
= 30° ÷ 2
= 15° (Isosceles triangle)
∠SUV
= 60° - 15°
= 45° (Equilateral triangle)
(b)
∠SWV
= 60° - 15°
= 45° (Equilateral triangle)
∠SVW
= 180° - 45° - 15°
= 120° (Angles sum of triangle)
∠SVU
= 360° - 150° - 120°
= 90° (Angles at a point)
∠TSU
= ∠SUV
= 45° (Alternate angles)
∠TSW
= 60° + 45°
= 105°
Answer(s): (a) 45°; (b) 90°; (c) 105°
