In the figure, KLP and NLM are right-angled triangles. PL is parallel to NM. Find
- ∠LMN
- ∠LPN
(a)
∠NLP
= 360° - 90° - 90° - 122°
= 58° (Angles at a point)
∠LNM = ∠NLP = 58° (Alternate angles)
∠LMN
= 180° - ∠NLM - ∠LNM
= 180° - 90° - 58°
= 32° (Angles sum of triangle)
(b)
∠LPN
= 180° - ∠NLP - ∠LNP
= 180° - 58° - 81°
= 41° (Angles sum of triangle)
Answer(s): (a) 32°; (b) 41°