In the figure, GH is a straight line. ∠FJG = 90°, ∠KJL is equal to ∠LJH but 24° more than ∠FJK.
- What line is perpendicular to GH?
- Find ∠KJL.
(a)
Line FJ or JF is perpendicular to GH
(b)
∠KJL = ∠LJH = 1 u
∠FJK = 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) FJ or JF; (b) 38°