Texas owned a 1-0 lead going into the ninth, but Miguel Tejeda singled in the tying run to force extra innings and the Orioles then broke things open against relievers John Rheinecker (3-3) and Wes Littleton.
A single, walk and fielding error accounted for one run in the 10th, after which Melvin Mora produced an RBI single and Roberts hit one out to right-center.
That made a winner out of Jamie Walker (2-2), who pitched 1 2/3 innings of relief.
The Rangers scored twice in the bottom of the 10th against Fernando Cabrera, but they still lost for the ninth time in 10 games.
Celebrity Families of 2014 [PHOTOS]