In the figure, QRS is parallel to VWX and the line VS cuts ∠RVX into half. Given that SV and RW are straight lines, ∠QRV = 41°, ∠VWU = 38° and ∠RUS = 118°, find
- ∠f
- ∠h
- ∠g
(a)
∠VUW = ∠RUS = 118° (Vertically opposite angles)
∠f
= 180° - 118° - 38°
= 24° (Angles sum of triangle)
(b)
∠h
= 180° - 24°
= 156° (Interior angles)
(c)
∠g
= 180° - 24° - 24° - 38°
= 101° (Angles sum of triangle)
Answer(s): (a) 24°; (b) 156°; (c) 101°