In the figure, JKN and MKL are right-angled triangles. NK is parallel to ML. Find
- ∠KLM
- ∠KNM
(a)
∠MKN
= 360° - 90° - 90° - 126°
= 54° (Angles at a point)
∠KML = ∠MKN = 54° (Alternate angles)
∠KLM
= 180° - ∠MKL - ∠KML
= 180° - 90° - 54°
= 36° (Angles sum of triangle)
(b)
∠KNM
= 180° - ∠MKN - ∠KMN
= 180° - 54° - 82°
= 44° (Angles sum of triangle)
Answer(s): (a) 36°; (b) 44°