The figure is not drawn to scale. UWXY is a trapezium and UW // YX. Given that UY = UV, ∠YUV = 79° and ∠UWX = 101°.
- Find ∠WXY
- Find ∠UVY
- Find ∠VYX
(a)
∠WXY
= 180° - 101°
= 79° (Interior angles, UW//YX)
(b)
∠UVY
= (180° - 79°) ÷ 2
= 101° ÷ 2
= 50.5° (Isosceles triangle)
(c)
∠VYX
= ∠UVY
= 50.5° (Alternate angles, UW//YX)
Answer(s): (a) 79°; (b) 50.5°; (c) 50.5°