6. Дано: \(\angle\) MOK = 110°, \(\angle\) MOP = 73°, \(\angle\) NOP = 64°. Найти: \(\angle\) NOK.

Решение:

1. \( \angle NOK = \angle NOP - \angle KOP \)
2. \( \angle KOP = \angle MOK - \angle MOP \)
3. \( \angle KOP = 110° - 73° = 37° \)
4. \( \angle NOK = \angle NOP - \angle KOP \)
5. \( \angle NOK = 64° - 37° \)
6. \( \angle NOK = 27° \)

Ответ: \( \angle NOK = 27° \).