In the figure, ∠KML = 90°. ∠KMN is 31° more than ∠LMN.
- What line is perpendicular to KM?
- Find ∠KMN.
(a)
Line LM or ML is perpendicular to KM.
(b)
∠LMN = 1 u
∠KMN = 1 u + 31
1 u + 1 u + 31° = 90° (Right angle)
2 u = 90° - 31° = 59°
1 u = 59° ÷ 2 = 29.5°
∠KMN
= 29.5° + 31°
= 60.5°
Answer(s): (a) LM or ML; (b) 60.5°