indignation vs anger

indignation and anger both are nouns.

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

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

indignation: a feeling of righteous anger
anger: a strong emotion; a feeling that is oriented toward some real or supposed grievance

Other hypernyms of indignation include choler, ire.

indignation (noun)	anger (noun)
a feeling of righteous anger	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

indignation (verb)	anger (verb)
	make angry
	become angry