In the figure, FGH is parallel to LMN and the line LH cuts ∠GLN into half. Given that HL and GM are straight lines, ∠FGL = 47°, ∠LMK = 35° and ∠GKH = 112°, find
- ∠t
- ∠w
- ∠v
(a)
∠LKM = ∠GKH = 112° (Vertically opposite angles)
∠t
= 180° - 112° - 35°
= 33° (Angles sum of triangle)
(b)
∠w
= 180° - 33°
= 147° (Interior angles)
(c)
∠v
= 180° - 33° - 33° - 35°
= 98° (Angles sum of triangle)
Answer(s): (a) 33°; (b) 147°; (c) 98°