In the figure, HJL and NMlK are straight lines. ∠HNM = 49°, ∠NHM = 41°, ∠JKL = 30° and ∠JLK = 110°. Find
- ∠HMJ
- ∠MHJ
(a)
∠HMN
= 180° - 41° - 49°
= 90° (Angles sum of triangle)
∠HMJ
= 180° - 90°
= 90° (Angles on a straight line)
(b)
∠LJK
= 180° - 110° - 30°
= 40° (Angles sum of triangle)
∠HJM = ∠LJK = 40° (Vertically opposite angles)
∠MHJ
= 180° - 90° - 40°
= 50° (Angles sum of triangle)
Answer(s): (a) 90°; (b) 50°
