Angle, 26, played 31 games for the Orioles last season, hitting .177 with one homer, seven RBIs and 11 stolen bases after spending most of the year at Triple-A Norfolk.
He's a 5-foot-10, 175-pound defensive specialist, a left-handed hitter and leadoff type who was a seventh-round Draft pick in 2007. Angle was designated for assignment by Baltimore.
Angle, who has two years of options remaining, gives the Dodgers some Triple-A outfield protection should they lose Trent Oeltjen, who is out of options and a longshot to make the 25-man roster.
De La Rosa is recovering nicely from Tommy John surgery in August, but he's not expected to be game ready until after the All-Star break at the earliest.