The phrase "looks smug" refers to a person appearing overly self-satisfied or pleased with oneself. There are several synonyms for this expression, including "complacent," "self-important," "arrogant," "condescending," and "superior." Other synonyms include "egotistical," "conceited," "haughty," and "snobbish." When a person looks smug, they often display a sense of superiority over others, indicating a lack of humility or an inflated sense of self-importance. One may also describe a person looking smug as "self-content," "proud," "smirking," or "self-righteous." These synonyms emphasize different facets of the individual's behavior or demeanor, all of which contribute to an overall impression of self-satisfaction.