In the figure, KLP and NLM are right-angled triangles. PL is parallel to NM. Find
- ∠LMN
- ∠LPN
(a)
∠NLP
= 360° - 90° - 90° - 126°
= 54° (Angles at a point)
∠LNM = ∠NLP = 54° (Alternate angles)
∠LMN
= 180° - ∠NLM - ∠LNM
= 180° - 90° - 54°
= 36° (Angles sum of triangle)
(b)
∠LPN
= 180° - ∠NLP - ∠LNP
= 180° - 54° - 87°
= 39° (Angles sum of triangle)
Answer(s): (a) 36°; (b) 39°
