In the figure, KLP and NLM are right-angled triangles. PL is parallel to NM. Find
- ∠LMN
- ∠LPN
(a)
∠NLP
= 360° - 90° - 90° - 123°
= 57° (Angles at a point)
∠LNM = ∠NLP = 57° (Alternate angles)
∠LMN
= 180° - ∠NLM - ∠LNM
= 180° - 90° - 57°
= 33° (Angles sum of triangle)
(b)
∠LPN
= 180° - ∠NLP - ∠LNP
= 180° - 57° - 83°
= 40° (Angles sum of triangle)
Answer(s): (a) 33°; (b) 40°