The goal was Angel’s second in the contest. He also scored in the fourth minute.
New York’s Josmer Altidore also scored twice, with his second goal giving his side a 4-3 lead in the 70th minute.
The Red Bulls have won three of their last four games.
Four goals were scored in the game's final 20 minutes.
The game marked the first MLS start for the Galaxy's David Beckham, who has been slowed by a left-ankle injury.
He did not score, but he did help draw 66,237 soccer fans to Giants Stadium.