ANAHEIM, Calif.—The Los Angeles Angels became the first team in the majors to clinch a playoff spot this season, winning their fourth AL West title in five years Wednesday.

Francisco Rodriguez earned his 56th save in closing out the Angels’ 4-2 victory over the New York Yankees. Second-place Texas lost to Seattle 8-7 about an hour later, clinching the division for Los Angeles.

The Angels, with the best record in baseball, can now spend their final 17 games resting and setting up their rotation for the playoffs.

Los Angeles won the crown without starters Chon...

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