In the figure, WXZ is a triangle with XZ = XW, while VWXY is a parallelogram and YXZ is a straight line. Given ∠XYV = 98°, ∠UXZ = 141° and ∠VUX = 58°, find
- ∠XWZ
- ∠UXW
(a)
∠VYX
= ∠WXZ
= 98° (Corresponding angles)
∠XWZ
= (180° - 98°) ÷ 2
= 41° (Isosceles triangle)
(b)
∠UXW
= 360° - 141° - 98°
= 121° (Angles at a point)
Answer(s): (a) 41°; (b) 121°