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 = 47°, ∠XYW = 32° and ∠TWU = 118°, find
- ∠r
- ∠t
- ∠s
(a)
∠XWY = ∠TWU = 118° (Vertically opposite angles)
∠r
= 180° - 118° - 32°
= 30° (Angles sum of triangle)
(b)
∠t
= 180° - 30°
= 150° (Interior angles)
(c)
∠s
= 180° - 30° - 30° - 32°
= 101° (Angles sum of triangle)
Answer(s): (a) 30°; (b) 150°; (c) 101°