engaged
🇺🇸
/ɪnˈɡeɪdʒd/
🇬🇧
/ɪnˈɡeɪdʒd/
promised to marry someone
They are engaged and will get married next year.
busy with or involved in something
She is engaged in an important project at work.
in use or occupied
The phone line was engaged when I called.