In the figure, HJM and LJK are right-angled triangles. MJ is parallel to LK. Find
- ∠JKL
- ∠JML
(a)
∠LJM
= 360° - 90° - 90° - 125°
= 55° (Angles at a point)
∠JLK = ∠LJM = 55° (Alternate angles)
∠JKL
= 180° - ∠LJK - ∠JLK
= 180° - 90° - 55°
= 35° (Angles sum of triangle)
(b)
∠JML
= 180° - ∠LJM - ∠JLM
= 180° - 55° - 86°
= 39° (Angles sum of triangle)
Answer(s): (a) 35°; (b) 39°