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 = 48°, ∠WXV = 34° and ∠SVT = 120°, find
- ∠e
- ∠g
- ∠f
(a)
∠WVX = ∠SVT = 120° (Vertically opposite angles)
∠e
= 180° - 120° - 34°
= 26° (Angles sum of triangle)
(b)
∠g
= 180° - 26°
= 154° (Interior angles)
(c)
∠f
= 180° - 26° - 26° - 34°
= 98° (Angles sum of triangle)
Answer(s): (a) 26°; (b) 154°; (c) 98°