In the figure, ∠LNM = 90°. ∠LNP is 34° 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 + 34
1 u + 1 u + 34° = 90° (Right angle)
2 u = 90° - 34° = 56°
1 u = 56° ÷ 2 = 28°
∠LNP
= 28° + 34°
= 62°
Answer(s): (a) MN or NM; (b) 62°