In the figure, STU is parallel to XYZ and the line XU cuts ∠TXZ into half. Given that UX and TY are straight lines, ∠STX = 44°, ∠XYW = 39° and ∠TWU = 112°, find
- ∠v
- ∠x
- ∠w
(a)
∠XWY = ∠TWU = 112° (Vertically opposite angles)
∠v
= 180° - 112° - 39°
= 29° (Angles sum of triangle)
(b)
∠x
= 180° - 29°
= 151° (Interior angles)
(c)
∠w
= 180° - 29° - 29° - 39°
= 97° (Angles sum of triangle)
Answer(s): (a) 29°; (b) 151°; (c) 97°