Ryan added an assist and Teemu Selanne scored for the Pacific Division-lead Ducks, who notched a win in the first of three games over five days against Dallas.
Kari Lehtonen made 26 saves for the Stars, who remained on the outside of the Western Conference playoff picture.
They fell three points behind St. Louis for the eighth and final post-season slot with the loss.
Yosemite climber falls 30 feet, suffers major injuries
Easer Egg Roll brings thousands to White House