Abdicate rhymes with:
dedicate, eradicate, indicate, predicate, rededicate, aguacate, allocate, aluminosilicate, authenticate, communicate, complicate, dedicate, deprecate, domesticate, educate, equivocate, eradicate, excommunicate, explicate, extricate, fabricate, indicate, intoxicate, misallocate, miscommunicate, pontificate, predicate, prognosticate, reciprocate, rededicate, reeducate, replicate, sophisticate, suffocate, unallocate, uncomplicate
Abdicate sounds like:
abdicated, abduct, abducted, abductee