In the figure, UVWX is a quadrilateral where ∠UVW = 124° and ∠VWX = 116°. ∠WXY = 79° 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
= 79° - 32°
= 47°
(b)
∠VUY
= 360° - 116° - 79° - 124°
= 41° (Sum of angles in a quadrilateral)
Answer(s): (a) 47°; (b) 41°