engaged

adjective

1. having ones attention or mind or energy engaged"she keeps herself fully occupied with volunteer activities"
2. involved in military hostilities"the desperately engaged ships continued the fight"
3. reserved in advance
4. (of facilities such as telephones or lavatories) unavailable for use by anyone else or indicating unavailability; (‘engaged’ is a British term for a busy telephone line)"her line is busy"
5. (used of toothed parts or gears) interlocked and interacting"the gears are engaged"
6. having services contracted for"the carpenter engaged (or employed) for the job is sick"
7. built against or attached to a wall"engaged columns"
8. pledged to be married"the engaged couple"