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 = 116°, find
- ∠w
- ∠y
- ∠x
(a)
∠MLN = ∠HLJ = 116° (Vertically opposite angles)
∠w
= 180° - 116° - 36°
= 28° (Angles sum of triangle)
(b)
∠y
= 180° - 28°
= 152° (Interior angles)
(c)
∠x
= 180° - 28° - 28° - 36°
= 101° (Angles sum of triangle)
Answer(s): (a) 28°; (b) 152°; (c) 101°