Hamilton added a sacrifice fly and Young drove in a run for the American League West champs, who took a 2-1 lead in their regular season-ending, four-game series against the Angels.
C.J. Wilson (15-8) earned the victory after holding the Angels to two runs on four hits over five innings.
Los Angeles starter Ervin Santana (17-10) was touched for five runs on nine hits and three walks in 6 1/3 innings.
The Angels got RBI singles from Torii Hunter and Howie Kendrick in the first inning.
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