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 = 39° and ∠RUS = 119°, find
- ∠i
- ∠k
- ∠j
(a)
∠VUW = ∠RUS = 119° (Vertically opposite angles)
∠i
= 180° - 119° - 39°
= 22° (Angles sum of triangle)
(b)
∠k
= 180° - 22°
= 158° (Interior angles)
(c)
∠j
= 180° - 22° - 22° - 39°
= 99° (Angles sum of triangle)
Answer(s): (a) 22°; (b) 158°; (c) 99°