anger vs mortal sin

anger and mortal sin both are nouns.

Word	Noun	Adjective	Verb	Adverb
anger	Yes	No	Yes	No
mortal sin	Yes	No	No	No

As nouns, mortal sin is a hypernym of anger; that is, mortal sin is a word with a broader meaning than anger:

anger: belligerence aroused by a real or supposed wrong (personified as one of the deadly sins)
mortal sin: an unpardonable sin entailing a total loss of grace

Other hypernyms of anger include deadly sin.

anger (noun)	mortal sin (noun)
belligerence aroused by a real or supposed wrong (personified as one of the deadly sins)	an unpardonable sin entailing a total loss of grace
a strong emotion; a feeling that is oriented toward some real or supposed grievance
the state of being angry

anger (verb)	mortal sin (verb)
make angry
become angry