The figure is not drawn to scale. UWXY is a trapezium and UW // YX. Given that UY = UV, ∠YUV = 77° and ∠UWX = 99°.
- Find ∠WXY
- Find ∠UVY
- Find ∠VYX
(a)
∠WXY
= 180° - 99°
= 81° (Interior angles, UW//YX)
(b)
∠UVY
= (180° - 77°) ÷ 2
= 103° ÷ 2
= 51.5° (Isosceles triangle)
(c)
∠VYX
= ∠UVY
= 51.5° (Alternate angles, UW//YX)
Answer(s): (a) 81°; (b) 51.5°; (c) 51.5°