In the figure, HJL and NMlK are straight lines. ∠HNM = 44°, ∠NHM = 40°, ∠JKL = 27° and ∠JLK = 105°. Find
- ∠HMJ
- ∠MHJ
(a)
∠HMN
= 180° - 40° - 44°
= 96° (Angles sum of triangle)
∠HMJ
= 180° - 96°
= 84° (Angles on a straight line)
(b)
∠LJK
= 180° - 105° - 27°
= 48° (Angles sum of triangle)
∠HJM = ∠LJK = 48° (Vertically opposite angles)
∠MHJ
= 180° - 84° - 48°
= 48° (Angles sum of triangle)
Answer(s): (a) 84°; (b) 48°