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 = 46°, ∠MNL = 38° and ∠HLJ = 115°, find
- ∠v
- ∠x
- ∠w
(a)
∠MLN = ∠HLJ = 115° (Vertically opposite angles)
∠v
= 180° - 115° - 38°
= 27° (Angles sum of triangle)
(b)
∠x
= 180° - 27°
= 153° (Interior angles)
(c)
∠w
= 180° - 27° - 27° - 38°
= 96° (Angles sum of triangle)
Answer(s): (a) 27°; (b) 153°; (c) 96°