braggy vs cock-a-hoop

braggy and cock-a-hoop both are adjectives.

Word	Noun	Adjective	Verb	Adverb
braggy	No	Yes	No	No
cock-a-hoop	No	Yes	No	No

As adjectives, braggy and cock-a-hoop are synonyms defined as:

Other synonyms of braggy include big, boastful, braggart, bragging, crowing, self-aggrandising, self-aggrandizing.

braggy (adjective)	cock-a-hoop (adjective)
exhibiting self-importance	exhibiting self-importance