Adjective
1. having ones attention or mind or energy engaged;
"she keeps herself fully occupied with volunteer activities""deeply engaged in conversation"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""receptionists' telephones are always engaged""the lavatory is in use""kept getting a busy signal"5. (used of toothed parts or gears) interlocked and interacting;
"the gears are engaged""meshed gears""intermeshed twin rotors"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"