In the figure, RST is parallel to WXY and the line WT cuts ∠SWY into half. Given that TW and SX are straight lines, ∠RSW = 46°, ∠WXV = 39° and ∠SVT = 120°, find
- ∠f
- ∠h
- ∠g
(a)
∠WVX = ∠SVT = 120° (Vertically opposite angles)
∠f
= 180° - 120° - 39°
= 21° (Angles sum of triangle)
(b)
∠h
= 180° - 21°
= 159° (Interior angles)
(c)
∠g
= 180° - 21° - 21° - 39°
= 95° (Angles sum of triangle)
Answer(s): (a) 21°; (b) 159°; (c) 95°