In the figure, ∠EGF = 90°. ∠EGH is 31° more than ∠FGH.
- What line is perpendicular to EG?
- Find ∠EGH.
(a)
Line FG or GF is perpendicular to EG.
(b)
∠FGH = 1 u
∠EGH = 1 u + 31
1 u + 1 u + 31° = 90° (Right angle)
2 u = 90° - 31° = 59°
1 u = 59° ÷ 2 = 29.5°
∠EGH
= 29.5° + 31°
= 60.5°
Answer(s): (a) FG or GF; (b) 60.5°