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 = 41° and ∠HLJ = 113°, find
- ∠c
- ∠e
- ∠d
(a)
∠MLN = ∠HLJ = 113° (Vertically opposite angles)
∠c
= 180° - 113° - 41°
= 26° (Angles sum of triangle)
(b)
∠e
= 180° - 26°
= 154° (Interior angles)
(c)
∠d
= 180° - 26° - 26° - 41°
= 94° (Angles sum of triangle)
Answer(s): (a) 26°; (b) 154°; (c) 94°