In the figure, KMP and LMN are straight lines. MK = ML and NM = NP. If ∠LKM = 53°, find
- ∠KMN
- ∠MNP
(a)
∠KMN
= 53° + 53°
= 106° (Exterior angle of a triangle)
(b)
∠NMP
= 180° - 106°
= 74° (Angles on a straight line)
∠MNP
= 180° - 74° - 74°
= 32° (Isosceles triangle)
Answer(s): (a) 106°; (b) 32°