In the figure, WXZ is a triangle with XZ = XW, while VWXY is a parallelogram and YXZ is a straight line. Given ∠XYV = 92°, ∠UXZ = 150° and ∠VUX = 50°, find
- ∠XWZ
- ∠UXW
(a)
∠VYX
= ∠WXZ
= 92° (Corresponding angles)
∠XWZ
= (180° - 92°) ÷ 2
= 44° (Isosceles triangle)
(b)
∠UXW
= 360° - 150° - 92°
= 118° (Angles at a point)
Answer(s): (a) 44°; (b) 118°