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 = 42°, ∠XYW = 32° and ∠TWU = 110°, find
- ∠r
- ∠t
- ∠s
(a)
∠XWY = ∠TWU = 110° (Vertically opposite angles)
∠r
= 180° - 110° - 32°
= 38° (Angles sum of triangle)
(b)
∠t
= 180° - 38°
= 142° (Interior angles)
(c)
∠s
= 180° - 38° - 38° - 32°
= 106° (Angles sum of triangle)
Answer(s): (a) 38°; (b) 142°; (c) 106°