The world champions earned their first win of the year as Mickey Callaway tossed six strong innings.
Among those in attendance during the ceremony were Major League Baseball Commissioner Bud Selig and Jackie Autry, the widow of former team owner Gene Autry. Selig congratulated the team and fans for their first title.
Callaway (1-0), a minor contributor for the Angels in 2002, confused one of the game's best offenses, allowing only four hits while walking two and striking out four. He retired the final 12 batters he faced in his 11th major league start.
Anderson scored three times and went 4-for-4 to lead a 13-hit attack as the Angels avenged a season-opening 6-3 loss. They scored their final run with two outs in the bottom of the eight on a wild pitch by Esteban Yan.
The 10th run gave fans at Edison Field free chicken wings at a local restaurant.
There was nothing to cheer about for the Rangers, who suffered their first loss under Manager Buck Showalter. They managed only five hits against three pitchers, and Chan Ho Park (0-1) was shelled in his first start of the year, allowing six runs in 2 2/3 innings.
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