engaged
v. B1 Intermediate Oxford US //ɛnˈɡeɪdʒd// UK //ɛnɡˈeɪdʒd// en·gaged
v. having agreed to marry someone. You can also use it to describe someone who is busy or deeply involved in an activity.
v. committed to a future marriage; alternatively, fully occupied by or involved in a specific task or interest.
They got engaged while on vacation in Italy.
The manager is currently engaged in a meeting and cannot take your call at the moment.
While the couple remained happily engaged for several years, they eventually decided that a formal wedding was less important than their shared daily life.
Usage
When meaning 'busy', it often takes the preposition 'in' or 'with'.
Pitfall
She is engaged with himShe is engaged to himWhen referring to marriage, the adjective takes the preposition 'to', not 'with'.