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 = 37° and ∠HLJ = 117°, find
- ∠j
- ∠m
- ∠k
(a)
∠MLN = ∠HLJ = 117° (Vertically opposite angles)
∠j
= 180° - 117° - 37°
= 26° (Angles sum of triangle)
(b)
∠m
= 180° - 26°
= 154° (Interior angles)
(c)
∠k
= 180° - 26° - 26° - 37°
= 99° (Angles sum of triangle)
Answer(s): (a) 26°; (b) 154°; (c) 99°