IPA: /ɪˈnɪɡ.mə.tɪk.li/
KK: /ɪˈnɪɡmətɪkli/
In a way that is mysterious or difficult to understand.
She smiled enigmatically, leaving everyone wondering what she was thinking.
Enigmatically → It is formed from "enigma" (from Greek "ainigma", meaning riddle or mystery) and "-ically" (meaning in a manner relating to). The word "enigmatically" means in a manner that is mysterious or puzzling, akin to a riddle.
Think of a riddle or mystery ('enigma') and how it is expressed in a certain way ('-ically'). This helps you remember that 'enigmatically' describes something done in a mysterious or puzzling manner.