Kole Calhoun and Brian Goodwin hit solo homers for the Angels (37-37), who beat Toronto for a second straight night and improved to 5-0 against the Blue Jays this season. Tommy La Stella tacked on a late RBI.
Skaggs (6-6) allowed one run and three hits while striking out six over 7 1/3 innings. The 27-year-old left-hander exited the game after striking out Rowdy Tellez in the eighth — recording the first eighth-inning out by an Angels starter this season.
Hansel Robles pitched the bottom of the ninth for his 11th save.
Lourdes Gurriel Jr. supplied the offence for the Blue Jays (26-47) on a solo home run.
Stroman (4-9) allowed three runs and four hits — two of them homers — over seven-plus innings. He also walked a batter and struck out three through his 102-pitch performance.