In the figure, ∠ACB = 90°. ∠ACD is 36° more than ∠BCD.
- What line is perpendicular to AC?
- Find ∠ACD.
(a)
Line BC or CB is perpendicular to AC.
(b)
∠BCD = 1 u
∠ACD = 1 u + 36
1 u + 1 u + 36° = 90° (Right angle)
2 u = 90° - 36° = 54°
1 u = 54° ÷ 2 = 27°
∠ACD
= 27° + 36°
= 63°
Answer(s): (a) BC or CB; (b) 63°