In the figure, HK is parallel to ML and HN is parallel to JP. HNM is a straight line, ∠HNP = 98°. ∠NHJ = 102° and the sum of ∠JKL and ∠LMN is 155°. Find
- ∠NPJ
- ∠MLK
(a)
∠NPJ
= 180° - 98°
= 82° (Interior angles)
(b)
∠MLK
= 360° - 155° - 102°
= 103° (Sum of angles in a quadrilateral)
Answer(s): (a) 82°; (b) 103°