engaged adj.
1 doing sth
VERBS be
ADV. deeply, heavily those who are deeply engaged in party politics | fully, totally | largely, mainly, primarily | directly | constantly | currently | actively, busily | otherwise I'm afraid Mr Wilson cannot see you now as he is otherwise engaged.
PREP. in She was engaged in conversation with a client. | on He is actively engaged on several projects. | with Mrs Scott is engaged with a customer at the moment.
2 having promised to marry sb
VERBS be | become, get The couple got engaged last month.
PREP. to She's engaged to an actor.