In the figure, ∠LNM = 90°. ∠LNP is 39° more than ∠MNP.
- What line is perpendicular to LN?
- Find ∠LNP.
(a)
Line MN or NM is perpendicular to LN.
(b)
∠MNP = 1 u
∠LNP = 1 u + 39
1 u + 1 u + 39° = 90° (Right angle)
2 u = 90° - 39° = 51°
1 u = 51° ÷ 2 = 25.5°
∠LNP
= 25.5° + 39°
= 64.5°
Answer(s): (a) MN or NM; (b) 64.5°