In the figure, JK is a straight line. ∠HLJ = 90°, ∠MLN is equal to ∠NLK but 30° 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 - 30°
1 u + 1 u + 1 u - 30° = 90° (Right angle)
3 u = 90° + 30° = 120°
1 u = 120° ÷ 3 = 40°
Answer(s): (a) HL or LH; (b) 40°