In the figure, WXZ is a triangle with XZ = XW, while VWXY is a parallelogram and YXZ is a straight line. Given ∠XYV = 94°, ∠UXZ = 140° and ∠VUX = 57°, find
- ∠XWZ
- ∠UXW
(a)
∠VYX
= ∠WXZ
= 94° (Corresponding angles)
∠XWZ
= (180° - 94°) ÷ 2
= 43° (Isosceles triangle)
(b)
∠UXW
= 360° - 140° - 94°
= 126° (Angles at a point)
Answer(s): (a) 43°; (b) 126°