| 1. | busy or occupied; involved: deeply engaged in conversation. |
| 2. | pledged to be married; betrothed: an engaged couple. |
| 3. | under engagement; pledged: an engaged contractor. |
| 4. | entered into conflict with: desperately engaged armies. |
| 5. | Mechanics.
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| 6. | Architecture. (of a distinct member) built so as to be truly or seemingly attached in part to the structure before which it stands: an engaged column. |
| unengaged | |
adjective | |
| 1. | not busy or occupied; free; "the cancellation left her unengaged a good part of the afternoon" |
| 2. | not promised in marriage; "continued seeing him but on an unengaged basis" |