Answer :

Rigor Mortis is the stiffening of the body the muscles and all whereas Livor Mortis is the setting of the blood and the discoloration of the skin ( skin turns to gray and stale colors)
AlexAriete
Rigor Mortis: temporary rigidity of muscles occurring after death

Livor Mortis: 
A purple discoloration of the skin in some dependent body areas following death as a result of blood cell destruction.

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