In the figure, KMP and LMN are straight lines. MK = ML and NM = NP. If ∠LKM = 59°, find
- ∠KMN
- ∠MNP
(a)
∠KMN
= 59° + 59°
= 118° (Exterior angle of a triangle)
(b)
∠NMP
= 180° - 118°
= 62° (Angles on a straight line)
∠MNP
= 180° - 62° - 62°
= 56° (Isosceles triangle)
Answer(s): (a) 118°; (b) 56°