The figure is not drawn to scale. UWXY is a trapezium and UW // YX. Given that UY = UV, ∠YUV = 74° and ∠UWX = 102°.
- Find ∠WXY
- Find ∠UVY
- Find ∠VYX
(a)
∠WXY
= 180° - 102°
= 78° (Interior angles, UW//YX)
(b)
∠UVY
= (180° - 74°) ÷ 2
= 106° ÷ 2
= 53° (Isosceles triangle)
(c)
∠VYX
= ∠UVY
= 53° (Alternate angles, UW//YX)
Answer(s): (a) 78°; (b) 53°; (c) 53°