Ruppert Jones, Rob Wilfong and Mike Brown homered to help California complete its three-game sweep in Chicago.
"It's always nice to get 11 runs," winner Mike Witt (6-6) said. "If they get me four runs, I should win. If not, then I'm not doing my job."
The Angels did get him four runs in the first inning. They had scored two or less runs in six of his starts and had been shut out in two of them.
"The way I saw it, it was over in the first inning," Witt said. He allowed but six hits and struck out eight in the seven innings he worked as the Angels made it four straight and opened a 2 1/2-game lead over the second-place White Sox in the AL West.
Witt had a four-hit shutout working until Rudy Law doubled with two out in the seventh and scored on Tim Hulett's double.
The Angels had 17 hits, including three by Gary Pettis. Rod Carew drove in three runs with two hits and Reggie Jackson had a two-run double.
Jones' homer spoiled Bruce Tanner's second major-league start and evened his record at 1-1.