the.com/engaged

means Bound by a formal agreement to marry, or more broadly occupied, involved, or actively committed to something.

from From the French 'engager,' to pledge or bind, built from 'en-' (to put into) plus 'gage,' a pledge or security — the same 'gage' a knight might throw down as a token of his word. So to be engaged was literally to be put into pledge, your promise held as collateral. The word is a cousin of 'wage' and 'wed,' all rooted in the old idea of staking something to guarantee you mean it.