Kendrick, who went 3-for-5 with four RBI, also had a two-run home run in the victory, which improved the Angels to four wins in their last five tries.
Kendrick hit a 1-1 fastball off Joe Ortiz (2-1) over the centerfield fence, breaking a 3-3 tie.
Dane De La Rosa (1-0) was credited with the win for two scoreless innings of relief.
Nelson Cruz hit a three-run home run in the sixth inning for the Rangers, who had their four-game winning streak snapped.
2014: The Year in Music [PHOTOS]