Bozak's first tally 14:10 into the game evened the score at 1-1 and Clarke MacArthur followed only 19 seconds later with the eventual game-winner as the Leafs concluded a four-game road trip with a 3-1 record.
Joey Crabb also scored and Luke Schenn added an empty-netter to go along with an assist. Jonas Gustavsson turned aside 26-of-28 shot to earn the victory.
Jonas Hiller made 23 saves for Anaheim.
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