In the figure, given that LMNP is a parallelogram and RQ is parallel to NP, find
- ∠LPN
- ∠NLP
- ∠LNM
(a)
∠QLM = ∠LPN = 36° (Corresponding angles)
(b)
∠NLP
= 180° - 36° - 39°
= 105° (Angles sum of triangle)
(c)
∠LNM = ∠NLP = 105° (Alternate angles)
Answer(s): (a) 36°; (b) 105°; (c) 105°