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 = 45°, ∠MNL = 42° and ∠HLJ = 118°, find
- ∠i
- ∠k
- ∠j
(a)
∠MLN = ∠HLJ = 118° (Vertically opposite angles)
∠i
= 180° - 118° - 42°
= 20° (Angles sum of triangle)
(b)
∠k
= 180° - 20°
= 160° (Interior angles)
(c)
∠j
= 180° - 20° - 20° - 42°
= 93° (Angles sum of triangle)
Answer(s): (a) 20°; (b) 160°; (c) 93°