CHICAGO -- Nicky Delmonico had three hits, including a walk-off, two-run homer in the bottom of the 10th inning, as the Chicago White Sox beat the Los Angeles Angels 6-4 on Wednesday night.

With the loss, the Angels were eliminated from playoff contention, and the Minnesota Twins clinched the American League's second wild card.

Avisail Garcia led off the 10th inning with a double into the left field corner against Angels reliever Blake Parker (3-3). Delmonico followed with the home run to right field to give the White Sox the victory.

Delmonico also had a RBI double in the fourth inning.

Danny Farquhar (4-2) picked up the victory after recording the last two outs in the top of the 10th.

The Angels took a 4-3 lead in the sixth inning on Andrelton Simmons' RBI single. Los Angeles put runners on first and second with nobody out when Justin Upton walked and Albert Pujols singled. After Brandon Phillips flied out, Simmons followed with a single that allowed Upton to score.

Tim Anderson drew the White Sox even with two outs in the sixth. Willy Garcia reached on a one-out error and advanced to third on two wild pitches. After Adam Engel struck out, Anderson produced a single up the middle to tie the score.

Trailing by three runs in the fifth, the Angels tied the score with two outs.

After Reynaldo Lopez retired the first two batters in the inning, he hit C.J. Cron and allowed a single by Martin Maldonado. Kole Calhoun followed with a three-run homer to dead center field before Lopez struck out Mike Trout to end the rally.

The White Sox took a 3-0 lead in the fourth inning when Delmonico drove in Jose Abreu with an RBI double. Abreu led off the inning with a single. Willy Garcia extended the lead on an RBI groundout with the bases loaded before Tyler Saladino, who walked with one out, scored on a Garrett Richards wild pitch.

Richards departed after he walked Adam Engel with two outs. He allowed three runs and four hits with three walks and three strikeouts in 3 2/3 innings.

Lopez gave up four runs on five hits in six innings. He walked two and fanned seven.

NOTES: White Sox RF Willy Garcia exited the game with a left hamstring strain. He is listed as day-to-day. ... Angels 3B Yunel Escobar's availability for the remainder of the season remains unknown, manager Mike Scioscia said. Escobar has been out since Aug. 8 with an oblique strain and has been rehabbing in Arizona. Escobar was to have played in Arizona on Wednesday, but he has not made enough progress to do so, Scioscia said. ... White Sox 3B Matt Davidson missed his second straight game due to illness, but manager Rick Renteria said Davidson was available to pinch-hit if needed. Davidson should be ready to play by Thursday, according to Renteria. ... Chicago RHP Carson Fulmer (blister) should be prepared to make his next start, which would be this weekend against the Cleveland Indians.