In the figure, CD is a straight line. ∠BEC = 90°, ∠FEG is equal to ∠GED but 30° more than ∠BEF.
- What line is perpendicular to CD?
- Find ∠FEG.
(a)
Line BE or EB is perpendicular to CD
(b)
∠FEG = ∠GED = 1 u
∠BEF = 1 u - 30°
1 u + 1 u + 1 u - 30° = 90° (Right angle)
3 u = 90° + 30° = 120°
1 u = 120° ÷ 3 = 40°
Answer(s): (a) BE or EB; (b) 40°