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 = 41°, ∠XYW = 36° and ∠TWU = 115°, find
- ∠c
- ∠e
- ∠d
(a)
∠XWY = ∠TWU = 115° (Vertically opposite angles)
∠c
= 180° - 115° - 36°
= 29° (Angles sum of triangle)
(b)
∠e
= 180° - 29°
= 151° (Interior angles)
(c)
∠d
= 180° - 29° - 29° - 36°
= 103° (Angles sum of triangle)
Answer(s): (a) 29°; (b) 151°; (c) 103°