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 = 46°, ∠MNL = 32° and ∠HLJ = 119°, find
- ∠e
- ∠g
- ∠f
(a)
∠MLN = ∠HLJ = 119° (Vertically opposite angles)
∠e
= 180° - 119° - 32°
= 29° (Angles sum of triangle)
(b)
∠g
= 180° - 29°
= 151° (Interior angles)
(c)
∠f
= 180° - 29° - 29° - 32°
= 102° (Angles sum of triangle)
Answer(s): (a) 29°; (b) 151°; (c) 102°