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 = 49°, ∠XYW = 38° and ∠TWU = 117°, find
- ∠v
- ∠x
- ∠w
(a)
∠XWY = ∠TWU = 117° (Vertically opposite angles)
∠v
= 180° - 117° - 38°
= 25° (Angles sum of triangle)
(b)
∠x
= 180° - 25°
= 155° (Interior angles)
(c)
∠w
= 180° - 25° - 25° - 38°
= 93° (Angles sum of triangle)
Answer(s): (a) 25°; (b) 155°; (c) 93°