appanage has 1 distinct synonym spread across 2 of its 2 senses. Each sense below keeps its own list, because a synonym belongs to a meaning and not to a word: swapping one sense's substitute into another sense's sentence is how a thesaurus makes writing worse. WordNet records no antonym for it — antonymy is a relation between word forms rather than concepts, so it is deliberately sparse.
Counts are distinct word forms across every sense. A synonym that appears under three senses is counted once here and shown three times below, under each sense it belongs to.
any customary and rightful perquisite appropriate to your station in life
“for thousands of years the chair was an appanage of state and dignity rather than an article of ordinary use”
a grant (by a sovereign or a legislative body) of resources to maintain a dependent member of a ruling family
“bishoprics were received as appanages for the younger sons of great families”
Synonyms, antonyms and the broader and narrower relations for appanage come from Princeton University’s WordNet. Full sources and licences.