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 = 43°, ∠MNL = 36° and ∠HLJ = 110°, find
- ∠j
- ∠m
- ∠k
(a)
∠MLN = ∠HLJ = 110° (Vertically opposite angles)
∠j
= 180° - 110° - 36°
= 34° (Angles sum of triangle)
(b)
∠m
= 180° - 34°
= 146° (Interior angles)
(c)
∠k
= 180° - 34° - 34° - 36°
= 101° (Angles sum of triangle)
Answer(s): (a) 34°; (b) 146°; (c) 101°