legal holiday vs public holiday

legal holiday and public holiday both are nouns.

Word	Noun	Adjective	Verb	Adverb
legal holiday	Yes	No	No	No
public holiday	Yes	No	No	No

As nouns, legal holiday and public holiday are synonyms defined as:

legal holiday and public holiday: authorized by law and limiting work or official business

Other synonyms of legal holiday include national holiday.

legal holiday (noun)	public holiday (noun)
authorized by law and limiting work or official business	authorized by law and limiting work or official business