In the figure, ∠EGF = 90°. ∠EGH is 36° 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 + 36
1 u + 1 u + 36° = 90° (Right angle)
2 u = 90° - 36° = 54°
1 u = 54° ÷ 2 = 27°
∠EGH
= 27° + 36°
= 63°
Answer(s): (a) FG or GF; (b) 63°