engaged

If you are engaged in something, you are interested in it.

Example: Americans are very engaged in this year's elections.

If you are engaged in something, you do it.

Example: He has recently become actively engaged in trying to find a cure for the disease.

If two people are engaged, they have promised to marry each other.

Example: They've been dating for two years but just became engaged last week.

If the telephone is engaged, it is being used.

Example: I tried calling, but their line is engaged.

The past tense and past participle of engage.