The act of acquiescing; acceptance or agreement to something without protest, often reluctant.
From acquiesce (Latin acquiescere, 'to become quiet at') plus -ment (Latin -mentum, a suffix creating abstract nouns). The -ment suffix turns verbs into nouns describing the action or result of that verb.
Acquiescement is a formal word for that awkward social moment where you say 'fine, okay' to something you don't really want—it's silent agreement, the opposite of enthusiastic support!
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