In the figure, ∠FHG = 90°. ∠FHJ is 32° more than ∠GHJ.
- What line is perpendicular to FH?
- Find ∠FHJ.
(a)
Line GH or HG is perpendicular to FH.
(b)
∠GHJ = 1 u
∠FHJ = 1 u + 32
1 u + 1 u + 32° = 90° (Right angle)
2 u = 90° - 32° = 58°
1 u = 58° ÷ 2 = 29°
∠FHJ
= 29° + 32°
= 61°
Answer(s): (a) GH or HG; (b) 61°