In the figure, JK is a straight line. ∠HLJ = 90°, ∠MLN is equal to ∠NLK but 24° more than ∠HLM.
- What line is perpendicular to JK?
- Find ∠MLN.
(a)
Line HL or LH is perpendicular to JK
(b)
∠MLN = ∠NLK = 1 u
∠HLM = 1 u - 24°
1 u + 1 u + 1 u - 24° = 90° (Right angle)
3 u = 90° + 24° = 114°
1 u = 114° ÷ 3 = 38°
Answer(s): (a) HL or LH; (b) 38°