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 = 40° and ∠RUS = 118°, find
- ∠j
- ∠m
- ∠k
(a)
∠VUW = ∠RUS = 118° (Vertically opposite angles)
∠j
= 180° - 118° - 40°
= 22° (Angles sum of triangle)
(b)
∠m
= 180° - 22°
= 158° (Interior angles)
(c)
∠k
= 180° - 22° - 22° - 40°
= 93° (Angles sum of triangle)
Answer(s): (a) 22°; (b) 158°; (c) 93°