In the figure, ∠CED = 90°. ∠CEF is 31° more than ∠DEF.
- What line is perpendicular to CE?
- Find ∠CEF.
(a)
Line DE or ED is perpendicular to CE.
(b)
∠DEF = 1 u
∠CEF = 1 u + 31
1 u + 1 u + 31° = 90° (Right angle)
2 u = 90° - 31° = 59°
1 u = 59° ÷ 2 = 29.5°
∠CEF
= 29.5° + 31°
= 60.5°
Answer(s): (a) DE or ED; (b) 60.5°