The Angels won their ninth consecutive road game, and will Shohei Ohtani as their starting pitcher Sunday. The Royals have lost five straight.
Trout hit his AL-leading sixth homer, a two-run drive in the fifth off Jakob Junis (2-1).
Angels right-hander Garrett Richards (2-0) did not allow a baserunner until the fifth, when he walked Lucas Duda to start the inning. Paulo Orlando got Kansas City's first hit with one out and Duda wound up scoring on one of Richards' three wild pitches in the inning.