PSLETUVW is a parallelogram, TVX is an equilateral triangle and VW = WX.
- Find ∠TVW.
- Find ∠VWT.
- Find ∠XTU.
(a)
VW = WX
Triangle VWX is an isosceles triangle.
∠WVX
= (180° - 130°) ÷ 2
= 50° ÷ 2
= 25° (Isosceles triangle)
∠TVW
= 60° - 25°
= 35° (Equilateral triangle)
(b)
∠TXW
= 60° - 25°
= 35° (Equilateral triangle)
∠TWX
= 180° - 35° - 25°
= 120° (Angles sum of triangle)
∠TWV
= 360° - 130° - 120°
= 110° (Angles at a point)
∠UTV
= ∠TVW
= 35° (Alternate angles)
∠UTX
= 60° + 35°
= 95°
Answer(s): (a) 35°; (b) 110°; (c) 95°