bigheaded vs snot-nosed

bigheaded and snot-nosed both are adjectives.

Word	Noun	Adjective	Verb	Adverb
bigheaded	No	Yes	No	No
snot-nosed	No	Yes	No	No

As adjectives, bigheaded and snot-nosed are synonyms defined as:

bigheaded and snot-nosed: (used colloquially) overly conceited or arrogant

Other synonyms of bigheaded include persnickety, snooty, snotty, stuck-up, too big for one's breeches, uppish.

bigheaded (adjective)	snot-nosed (adjective)
(used colloquially) overly conceited or arrogant	dirty with nasal discharge
	(used colloquially) overly conceited or arrogant