Here's what rhymes with sigais.
gay k kc cay they may day way say pay re lay j array bay clay gray grey ray che hay nay okay weigh fay fe yea dey hey ij ley ok rei sei whey bk jay lei payee rea rj tae wei bey neigh fey filet roue shay sickbay away play stay delay survey decay essay obey pray prey spray cafe stray sway tray fray oj slay valet allay bouquet fillet sleigh bj drei fj saute tj tre zwei bray dray flay risque belay brae inveigh splay moray nisei sachet hooray trey aurae briquet hurray spay aweigh copay today anyway convey ballet betray dismay halfway repay astray cliche defray disarray overlay passe cabaret emigre gangway toothache crochet croquet parquet soiree souffle ricochet airplay purvey sorbet soubriquet stingray toupee noway overpay reweigh display everyday holiday attache disobey faraway lamellae sequelae dossier francais matinee naturae puree replay alleyway fistulae getaway maxillae sobriquet workaday caraway fibulae giveaway hideaway throwaway byplay patellae prepay resurvey stowaway flyaway overplay overstay urethrae caesurae layaway medullae outplay outstay umbrae misplay tearaway respray yesterday interplay portray runaway underway vertebrae naivete papillae passageway waterway microarray nebulae societe underlay breakaway lingerie wordplay carriageway castaway pleurae takeaway macrame roundelay underpay uvulae bobsleigh copulae cybercafe foldaway walkaway formulae protege scapulae straightaway cabriolet salmonellae underplay penumbrae communique trabeculae tarantulae companionway caravanserais