In the figure, GHJ is parallel to MNP and the line MJ cuts ∠HMP into half. Given that JM and HN are straight lines, ∠GHM = 43°, ∠MNL = 33° and ∠HLJ = 114°, find
- ∠j
- ∠m
- ∠k
(a)
∠MLN = ∠HLJ = 114° (Vertically opposite angles)
∠j
= 180° - 114° - 33°
= 33° (Angles sum of triangle)
(b)
∠m
= 180° - 33°
= 147° (Interior angles)
(c)
∠k
= 180° - 33° - 33° - 33°
= 104° (Angles sum of triangle)
Answer(s): (a) 33°; (b) 147°; (c) 104°