Derived from the French past participle
dégager, to disengage, dégagé is an adjective
synonymous with unconstrained, easy, and free.
While someone with a blasé attitude
may appear dégagé, it is only because
s/he has overindulged in some pleasure. The truly
dégagé person is like a cork in the
lake, carelessly floating wherever the fates
may desire.

Dé`ga`gé" (?), a. [F., p. p. of dégager to disengage. See De-, lst Gage, and cf. Disgage.]

Unconstrained; easy; free. Vanbrugh.

A graceful and dégagé manner.
Poe.

© Webster 1913