Angst rhymes with:
affixed, akst, anikst, annexed, axed, axt, bakst, baxt, betwixt, blixt, boxed, climaxed, coaxed, context, datext, faxed, fixed, flexed, flummoxed, hext, hoechst, hypertext, indexed, intermixed, kekst, maxed, mixed, mixte, next, nixed, outfoxed, overtaxed, perplexed, pretext, relaxed, sexed, sixed, subtext, taxed, teletext, text, transfixed, unmixed, untaxed, vexed, videotext, waxed, xeroxed
Angst sounds like:
amassed, amazed, amcast, amezquita, amhoist, amistad, amnesty, amongst, amsouth, amused, anacostia, anast, ancheta, anecdote, angotti, angstadt, anguished, anikst, animist, animosity, aniseed, anisette, annexed, announced, annunciata, annunziata, annunziato, ansaid, ansett, anstead, anstett, anstey, anxiety, aungst