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 = 46°, ∠XYW = 32° and ∠TWU = 120°, find
- ∠a
- ∠c
- ∠b
(a)
∠XWY = ∠TWU = 120° (Vertically opposite angles)
∠a
= 180° - 120° - 32°
= 28° (Angles sum of triangle)
(b)
∠c
= 180° - 28°
= 152° (Interior angles)
(c)
∠b
= 180° - 28° - 28° - 32°
= 102° (Angles sum of triangle)
Answer(s): (a) 28°; (b) 152°; (c) 102°