Street (1-1) was pitching for the third consecutive day. He had saved the first two games of the three-game series.
"I didn't make very good pitches today. That's the bottom line," he said. "I felt fine."
One of his 10 pitches was a slider to Rosales, who was expecting it.
"His scouting report is that he throws 60 to 70 percent sliders, so you're looking to hit that pitch," Rosales said.
The blown save was Street's second in 35 opportunities with the Angels and Padres. He had not given up a run since being acquired from San Diego on July 18 until Mike Carp's tying single.
"Even the best closers in the game, and Huston's certainly one of them, are going to have a day where it doesn't work out. For today, it was us," manager Mike Scioscia said.
Los Angeles had won its last four games to take over the AL West lead. Texas had lost four in a row overall, and nine straight to the Angels.
Neftali Feliz (1-1) pitched a scoreless ninth inning.
"This was by no means lost in the ninth inning," Scioscia said. "This game was lost on the offensive side through a bunch of situations that we either needed to score some runs with outs or get a key hit. We weren't able to do it."
The Angels were unable to score with the bases loaded and no outs in the eighth. Texas reliever Shawn Tolleson struck out Erick Aybar and David Freese, and Efren Herrera couldn't check his swing on a third strike against Neal Cotts.
Collin Cowgill's bases-loaded single and Kole Calhoun's RBI grounder drove in second-inning runs against Nick Tepesch.
Angels starter Hector Santiago pitched six innings, allowing a run and four hits.
"There's no doubt about his ability to throw strikes and I think he's commanding counts better," Scioscia said. "He's been keeping guys off-balance. He's been pitching good baseball."
Angels: LHP Joe Thatcher (sprained left ankle) will be eligible to come off the disabled list Monday, but might not return before September.
Rangers: OF Engel Beltre (fractured right tibia) started a rehab assignment in the Arizona Rookie League on Saturday, but left in the third inning because of general leg soreness.
Angels: LHP C.J. Wilson (9-8, 4.71) is scheduled to start for Los Angeles on Monday night in Boston. He went 6 2-3 innings to win his most recent start over the Phillies on Aug. 12.
Rangers: Texas is off Monday. RHP Miles Mikolas (1-5, 7.71) starts Tuesday night in the opener of a two-game road trip to Miami. He is from Jupiter, Florida.
LOTS OF ZEROS
When Angels RHP Kevin Jepsen pitched a scoreless seventh inning, he improved his major league-leading total to 55 games in which he didn't allow a run.
Calhoun's seven-game hitting streak, during which he batted .441, ended with him going 0 for 4. His RBI gave him six for the series.
Mike Trout's hitless streak stretched to 18 at-bats before his fifth-inning single for the Angels. He was 1 for 3 with a walk.