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 = 37° and ∠RUS = 120°, find
- ∠j
- ∠m
- ∠k
(a)
∠VUW = ∠RUS = 120° (Vertically opposite angles)
∠j
= 180° - 120° - 37°
= 23° (Angles sum of triangle)
(b)
∠m
= 180° - 23°
= 157° (Interior angles)
(c)
∠k
= 180° - 23° - 23° - 37°
= 96° (Angles sum of triangle)
Answer(s): (a) 23°; (b) 157°; (c) 96°