Their best hitter, who is also considered the best all-around player in baseball, was unavailable because of a right-wrist injury, and their most dangerous left-handed bat was relegated to a pinch-hitting role.
Jefry Marte followed with another RBI ground out to second to pull the Angels to within 4-2, but Kaleb Cowart struck out to end the inning. Rays right-hander Diego Castillo struck out two in a scoreless eighth, and Sergio Romo struck out two of three batters in a clean ninth for the save.
Angels left-hander Andrew Heaney registered quality starts in each of his previous five games, allowing 11 earned runs in 34 1/3 innings for a 2.