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 = 49°, ∠VWU = 33° and ∠RUS = 120°, find
- ∠m
- ∠p
- ∠n
(a)
∠VUW = ∠RUS = 120° (Vertically opposite angles)
∠m
= 180° - 120° - 33°
= 27° (Angles sum of triangle)
(b)
∠p
= 180° - 27°
= 153° (Interior angles)
(c)
∠n
= 180° - 27° - 27° - 33°
= 98° (Angles sum of triangle)
Answer(s): (a) 27°; (b) 153°; (c) 98°