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 = 48°, ∠MNL = 42° and ∠HLJ = 120°, find
- ∠b
- ∠d
- ∠c
(a)
∠MLN = ∠HLJ = 120° (Vertically opposite angles)
∠b
= 180° - 120° - 42°
= 18° (Angles sum of triangle)
(b)
∠d
= 180° - 18°
= 162° (Interior angles)
(c)
∠c
= 180° - 18° - 18° - 42°
= 90° (Angles sum of triangle)
Answer(s): (a) 18°; (b) 162°; (c) 90°