(heading) To interact socially.
(heading) To interact antagonistically.
(heading) To interact contractually.
(heading) To interact mechanically.
To enter into (an activity), to participate (construed with in).
To entangle.
Agreed to be married.
Busy or employed.
Greatly interested.
(of a telephone) Already involved in a telephone call when a third party calls
I tried calling, but she (or her phone) was engaged.
(of a column) attached to a wall or sunk into it halfway
(of gears or cogs) in contact and in operation
Being attacked or attacking
(of a foetus) Having the widest part of its presenting part, usually the head, enter the pelvic brim or inlet.