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 = 50°, ∠XYW = 42° and ∠TWU = 113°, find
- ∠c
- ∠e
- ∠d
(a)
∠XWY = ∠TWU = 113° (Vertically opposite angles)
∠c
= 180° - 113° - 42°
= 25° (Angles sum of triangle)
(b)
∠e
= 180° - 25°
= 155° (Interior angles)
(c)
∠d
= 180° - 25° - 25° - 42°
= 88° (Angles sum of triangle)
Answer(s): (a) 25°; (b) 155°; (c) 88°