It implies a sense of:
* Conceit: Believing one is superior to others.
* Arrogance: Having an exaggerated sense of self-importance.
* Complacency: Feeling satisfied with oneself and one's achievements, even if they are not particularly impressive.
Here are some examples of how "smugly" might be used:
* "He smugly patted his son on the back, proud of his own parenting skills."
* "The politician smugly dismissed the concerns of his constituents, confident in his own popularity."
* "She smugly corrected her friend's grammar, enjoying the feeling of superiority."
"Smugly" often carries a negative connotation because it suggests that the person is being boastful and insensitive to the feelings of others.