Adjective unengaged has 2 senses
  1. unengaged - not busy or occupied; free; "the cancellation left her unengaged a good part of the afternoon"
    Antonym:
    busy (indirect, via idle)
  2. unengaged, unpledged, unpromised - not promised in marriage; "continued seeing him but on an unengaged basis"
    Antonyms: attached, committed (indirect, via unattached)
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