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 = 42°, ∠VWU = 40° and ∠RUS = 117°, find
- ∠t
- ∠w
- ∠v
(a)
∠VUW = ∠RUS = 117° (Vertically opposite angles)
∠t
= 180° - 117° - 40°
= 23° (Angles sum of triangle)
(b)
∠w
= 180° - 23°
= 157° (Interior angles)
(c)
∠v
= 180° - 23° - 23° - 40°
= 98° (Angles sum of triangle)
Answer(s): (a) 23°; (b) 157°; (c) 98°