In the figure, HJM and LJK are right-angled triangles. MJ is parallel to LK. Find
- ∠JKL
- ∠JML
(a)
∠LJM
= 360° - 90° - 90° - 120°
= 60° (Angles at a point)
∠JLK = ∠LJM = 60° (Alternate angles)
∠JKL
= 180° - ∠LJK - ∠JLK
= 180° - 90° - 60°
= 30° (Angles sum of triangle)
(b)
∠JML
= 180° - ∠LJM - ∠JLM
= 180° - 60° - 87°
= 33° (Angles sum of triangle)
Answer(s): (a) 30°; (b) 33°