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 = 47°, ∠MNL = 38° and ∠HLJ = 117°, find
- ∠a
- ∠c
- ∠b
(a)
∠MLN = ∠HLJ = 117° (Vertically opposite angles)
∠a
= 180° - 117° - 38°
= 25° (Angles sum of triangle)
(b)
∠c
= 180° - 25°
= 155° (Interior angles)
(c)
∠b
= 180° - 25° - 25° - 38°
= 95° (Angles sum of triangle)
Answer(s): (a) 25°; (b) 155°; (c) 95°