Here are some examples:
* She lounged languidly on the beach, soaking up the sun. (This implies she was relaxed and unhurried.)
* The music played languidly in the background, creating a calm atmosphere. (This suggests the music was slow and dreamy.)
* He answered the question languidly, as if he couldn't be bothered. (This implies he was bored or uninterested.)
Synonyms for languidly:
* sluggishly
* lethargically
* listlessly
* dreamily
* lackadaisically
* indolently
Antonyms for languidly:
* energetically
* enthusiastically
* briskly
* eagerly
* actively