Perry's goal came with 8:26 remaining in the second period and Hedican scored with 4:20 left in the third.
Hiller turned back 29 Kings' shots in a victory that ended a three-game Ducks' slide.
Erik Ersberg made 23 saves for Los Angeles.
Justin Bieber crashes Drake Bell's album release party
Rosie O'Donnell unveils nearly 50-pound weight loss