In the figure, UVWX is a quadrilateral where ∠UVW = 136° and ∠VWX = 116°. ∠WXY = 77° and VW = WX. The point Y on UX is such that VY is parallel to WX. Calculate
- ∠VXY
- ∠VUY
(a)
∠WXV
= (180° - 116°) ÷ 2
= 32° (Isosceles triangle)
∠VXY
= 77° - 32°
= 45°
(b)
∠VUY
= 360° - 116° - 77° - 136°
= 31° (Sum of angles in a quadrilateral)
Answer(s): (a) 45°; (b) 31°