In the figure, UVWX is a quadrilateral where ∠UVW = 136° and ∠VWX = 118°. ∠WXY = 74° and VW = WX. The point Y on UX is such that VY is parallel to WX. Calculate
- ∠VXY
- ∠VUY
(a)
∠WXV
= (180° - 118°) ÷ 2
= 31° (Isosceles triangle)
∠VXY
= 74° - 31°
= 43°
(b)
∠VUY
= 360° - 118° - 74° - 136°
= 32° (Sum of angles in a quadrilateral)
Answer(s): (a) 43°; (b) 32°