In the figure, LNQ and MNP are straight lines. NL = NM and PN = PQ. If ∠MLN = 59°, find
- ∠LNP
- ∠NPQ
(a)
∠LNP
= 59° + 59°
= 118° (Exterior angle of a triangle)
(b)
∠PNQ
= 180° - 118°
= 62° (Angles on a straight line)
∠NPQ
= 180° - 62° - 62°
= 56° (Isosceles triangle)
Answer(s): (a) 118°; (b) 56°