Definition of smugly adverb from the Oxford Advanced Learner's Dictionary

 

smugly

 adverb
adverb
BrE BrE//ˈsmʌɡli//
 
; NAmE NAmE//ˈsmʌɡli//
 
(disapproving)
 
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in a way that shows you feel too pleased about something you have done or achieved synonym complacently He smiled smugly as the results were announced.