snot-nosed vs bigheaded

snot-nosed and bigheaded both are adjectives.

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

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

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

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

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