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 = 40° and ∠TWU = 110°, find
- ∠w
- ∠y
- ∠x
(a)
∠XWY = ∠TWU = 110° (Vertically opposite angles)
∠w
= 180° - 110° - 40°
= 30° (Angles sum of triangle)
(b)
∠y
= 180° - 30°
= 150° (Interior angles)
(c)
∠x
= 180° - 30° - 30° - 40°
= 93° (Angles sum of triangle)
Answer(s): (a) 30°; (b) 150°; (c) 93°