Trevor Bauer sauntered toward the dugout with his head down. He reached the top step, looked up and slapped hands with Mickey Callaway.

The Indians asked a lot of Bauer on Monday. He raised his right arm again and again in order to heave a career-high 119 pitches, more than any Tribe starter has tossed in a game all season. That final lift of the arm, the one that resulted in a high-five with his pitching coach, symbolized what Bauer accomplished before 14,716 fans at Progressive Field.

Bauer saved a burnt-out bullpen by submitting 6 2/3 gutsy innings to guide the Indians to a 4-3 victory against the Angels. He wasn't his sharpest or his most efficient, but Bauer kept Cleveland in front and spared a relief corps that was without Cody Allen, Bryan Shaw and Marc Rzepczynski.

"That's what you look for in a major league pitcher," Callaway said. "It's almost like, 'OK, you're a major leaguer now.' You can go out there when your stuff might not be the best and you can battle and give us six or seven good innings. ... It gives you the confidence that you can pitch at this level no matter how good your stuff is that day."

Given the widespread bullpen fatigue, Carlos Carrasco served as Cleveland's clean-up man. He completed the final 2 1/3 innings to capture his first career save.

Carlos Santana's ninth home run of the season proved to be the scoring difference. He rocketed a 76-mph changeup into the right-field seats in the fourth to provide the Indians with the one-run advantage.

Asdrubal Cabrera socked a two-run shot into the left-field bleachers in the first -- a ruling that stood after an umpire review -- but the Angels roared back with a pair of runs in the second. Bauer yielded another response run in the fourth. Michael Brantley, who exited the game after getting dinged in the head on a slide, delivered an RBI single in the third. John McDonald, however, tied the game with a sacrifice fly.

Bauer settled in after that. He froze Albert Pujols with a knee-buckling curveball on his 110th offering of the night to end the fifth. On his final pitch, David Freese lined out to short.