In the figure, JKN and MKL are right-angled triangles. NK is parallel to ML. Find
- ∠KLM
- ∠KNM
(a)
∠MKN
= 360° - 90° - 90° - 125°
= 55° (Angles at a point)
∠KML = ∠MKN = 55° (Alternate angles)
∠KLM
= 180° - ∠MKL - ∠KML
= 180° - 90° - 55°
= 35° (Angles sum of triangle)
(b)
∠KNM
= 180° - ∠MKN - ∠KMN
= 180° - 55° - 83°
= 42° (Angles sum of triangle)
Answer(s): (a) 35°; (b) 42°