Dane Richards sent a cross to Angel, who came through from 11 yards out for his second goal of the season.
New York halted a two-game losing streak and improved to 4-3-2.
Chivas (4-5-2) had won its previous three outings.
New York did not get its first shot on goal until the 64th minute.
Celebrity Breakups and divorces of 2014 [PHOTOS]