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 = 117°, find
- ∠a
- ∠c
- ∠b
(a)
∠MLN = ∠HLJ = 117° (Vertically opposite angles)
∠a
= 180° - 117° - 36°
= 27° (Angles sum of triangle)
(b)
∠c
= 180° - 27°
= 153° (Interior angles)
(c)
∠b
= 180° - 27° - 27° - 36°
= 101° (Angles sum of triangle)
Answer(s): (a) 27°; (b) 153°; (c) 101°