In the figure, WXZ is a triangle with XZ = XW, while VWXY is a parallelogram and YXZ is a straight line. Given ∠XYV = 100°, ∠UXZ = 148° and ∠VUX = 54°, find
- ∠XWZ
- ∠UXW
(a)
∠VYX
= ∠WXZ
= 100° (Corresponding angles)
∠XWZ
= (180° - 100°) ÷ 2
= 40° (Isosceles triangle)
(b)
∠UXW
= 360° - 148° - 100°
= 112° (Angles at a point)
Answer(s): (a) 40°; (b) 112°