enragement vs anger

enragement and anger both are nouns.

Word	Noun	Adjective	Verb	Adverb
enragement	Yes	No	No	No
anger	Yes	No	Yes	No

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

enragement: a feeling of intense anger and impatience
anger: a strong emotion; a feeling that is oriented toward some real or supposed grievance

Other hypernyms of enragement include choler, ire.

enragement (noun)	anger (noun)
a feeling of intense anger and impatience	belligerence aroused by a real or supposed wrong (personified as one of the deadly sins)
	a strong emotion; a feeling that is oriented toward some real or supposed grievance
	the state of being angry

enragement (verb)	anger (verb)
	make angry
	become angry