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 = 50°, ∠MNL = 37° and ∠HLJ = 110°, find
- ∠g
- ∠i
- ∠h
(a)
∠MLN = ∠HLJ = 110° (Vertically opposite angles)
∠g
= 180° - 110° - 37°
= 33° (Angles sum of triangle)
(b)
∠i
= 180° - 33°
= 147° (Interior angles)
(c)
∠h
= 180° - 33° - 33° - 37°
= 93° (Angles sum of triangle)
Answer(s): (a) 33°; (b) 147°; (c) 93°