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° - 132°) ÷ 2
= 48° ÷ 2
= 24° (Isosceles triangle)
∠TVW
= 60° - 24°
= 36° (Equilateral triangle)
(b)
∠TXW
= 60° - 24°
= 36° (Equilateral triangle)
∠TWX
= 180° - 36° - 24°
= 120° (Angles sum of triangle)
∠TWV
= 360° - 132° - 120°
= 108° (Angles at a point)
∠UTV
= ∠TVW
= 36° (Alternate angles)
∠UTX
= 60° + 36°
= 96°
Answer(s): (a) 36°; (b) 108°; (c) 96°
