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 = 47°, ∠VWU = 36° and ∠RUS = 113°, find
- ∠v
- ∠x
- ∠w
(a)
∠VUW = ∠RUS = 113° (Vertically opposite angles)
∠v
= 180° - 113° - 36°
= 31° (Angles sum of triangle)
(b)
∠x
= 180° - 31°
= 149° (Interior angles)
(c)
∠w
= 180° - 31° - 31° - 36°
= 97° (Angles sum of triangle)
Answer(s): (a) 31°; (b) 149°; (c) 97°