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 = 44°, ∠MNL = 42° and ∠HLJ = 115°, find
- ∠j
- ∠m
- ∠k
(a)
∠MLN = ∠HLJ = 115° (Vertically opposite angles)
∠j
= 180° - 115° - 42°
= 23° (Angles sum of triangle)
(b)
∠m
= 180° - 23°
= 157° (Interior angles)
(c)
∠k
= 180° - 23° - 23° - 42°
= 94° (Angles sum of triangle)
Answer(s): (a) 23°; (b) 157°; (c) 94°