(1):

(imp. & p. p.) of Engage

(2):

(a.) Occupied; employed; busy.

(3):

(a.) Pledged; promised; especially, having the affections pledged; promised in marriage; affianced; betrothed.

(4):

(a.) Involved; esp., involved in a hostile encounter; as, the engaged ships continued the fight.

(5):

(a.) Greatly interested; of awakened zeal; earnest.