Leading off the first, Cameron Maybin homered to left off Cobb. Mike Trout followed with a homer to left, putting the Angels up 2-0.
Tim Beckham's bunt single off Shoemaker with one out in the second served as the Rays' only hit until Logan Morrison doubled off Shoemaker with one out in the seventh.
The Rays finally chased Shoemaker when they loaded the bases with one out in the seventh, but Yusmeiro Petit took over and struck out Steven Souza Jr., and Derek Norris to end the threat.