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 = 49°, ∠MNL = 42° and ∠HLJ = 113°, find
- ∠s
- ∠v
- ∠t
(a)
∠MLN = ∠HLJ = 113° (Vertically opposite angles)
∠s
= 180° - 113° - 42°
= 25° (Angles sum of triangle)
(b)
∠v
= 180° - 25°
= 155° (Interior angles)
(c)
∠t
= 180° - 25° - 25° - 42°
= 89° (Angles sum of triangle)
Answer(s): (a) 25°; (b) 155°; (c) 89°