In a mysterious, puzzling, or unclear way that is difficult to understand or interpret.
From enigmatical + -ly (adverb suffix). The adverbial form of enigmatical, following standard English word formation patterns.
When someone answers enigmatically, they're being deliberately cryptic—like how secret agents in spy movies always give you hints instead of straight answers. It's the adverb form of 'keep 'em guessing.'
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