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 = 49°, ∠MNL = 34° and ∠HLJ = 119°, find
- ∠d
- ∠f
- ∠e
(a)
∠MLN = ∠HLJ = 119° (Vertically opposite angles)
∠d
= 180° - 119° - 34°
= 27° (Angles sum of triangle)
(b)
∠f
= 180° - 27°
= 153° (Interior angles)
(c)
∠e
= 180° - 27° - 27° - 34°
= 97° (Angles sum of triangle)
Answer(s): (a) 27°; (b) 153°; (c) 97°