In the figure, HJ is a straight line. ∠GKH = 90°, ∠LKM is equal to ∠MKJ but 24° more than ∠GKL.
- What line is perpendicular to HJ?
- Find ∠LKM.
(a)
Line GK or KG is perpendicular to HJ
(b)
∠LKM = ∠MKJ = 1 u
∠GKL = 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) GK or KG; (b) 38°