In the figure, JKN and MKL are right-angled triangles. NK is parallel to ML. Find
- ∠KLM
- ∠KNM
(a)
∠MKN
= 360° - 90° - 90° - 123°
= 57° (Angles at a point)
∠KML = ∠MKN = 57° (Alternate angles)
∠KLM
= 180° - ∠MKL - ∠KML
= 180° - 90° - 57°
= 33° (Angles sum of triangle)
(b)
∠KNM
= 180° - ∠MKN - ∠KMN
= 180° - 57° - 85°
= 38° (Angles sum of triangle)
Answer(s): (a) 33°; (b) 38°
