As an adjective meaning extremely angry:
* "The coach was livid when he saw his team lose the game."
* "Her face turned livid with rage when she found out he had lied to her."
* "He was livid after his car was stolen."
As an adjective meaning discolored, usually from bruising:
* "The victim's arm was livid from the fall."
* "The bruise on his forehead was livid and swollen."
* "The color of the blood drained from his face, leaving it livid and pale."
As a verb meaning to become discolored:
* "The skin around the injury livid over the next few days."
* "The bruise livid and turned a deep purple."
Remember to choose the meaning of "livid" that best fits the context of your sentence.