Devoe Joseph and Garrett Sim also scored 16 points each for the Ducks (18-7, 9-4 Pac-12), who have recorded their most wins in conference play since going 9-9 in 2008.
Brock Motum scored 17 to pace the Cougars (13-12, 5-8). Mike Ladd added 13 points and Reggie Moore also scored 12.
Oregon made 11 of 20 3-pointers, including four in the final six minutes to pull away from a 58-all tie. Singler and Sim had four 3s apiece.
The Ducks led 36-33 at halftime and the game featured 13 ties and nine lead changes, with the last coming on a 3-pointer by Sim with 6:00 to play that put the Ducks up 61-58.
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