In the figure, ∠ACB = 90°. ∠ACD is 34° 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 + 34
1 u + 1 u + 34° = 90° (Right angle)
2 u = 90° - 34° = 56°
1 u = 56° ÷ 2 = 28°
∠ACD
= 28° + 34°
= 62°
Answer(s): (a) BC or CB; (b) 62°