5. Дано: \(\angle\) ABD = 85°, \(\angle\) CBE = 45°. Найти: \(\angle\) ABE.

Решение:

1. \( \angle ABE = \angle ABD - \angle EBD \).
2. \( \angle EBD = \angle ABD - \angle ABE \).
3. \( \angle ABE = \angle ABD - \angle CBE \)
4. \( \angle ABE = 85° - 45° \)
5. \( \angle ABE = 40° \)

Ответ: \( \angle ABE = 40° \).