Seattle held a five-point lead at halftime after Josh Hearlihy hit a 3-pointer at the buzzer to end the first half and the Redhawks started the second half on a 5-0 run to extend it to 36-26.
Skaggs hit seven straight 3-pointers in the second half as he and Daniels combined to shoot 11 of 13 from distance. Skaggs gave Washington State its first lead of the second half on a 3 with 14:23 remaining and the Cougars extended their lead to double digits at the 6:38 mark.
"My job is to make shots, just know your job and do your job," said Skaggs. "Once I hit the first one, I just got into a rhythm and flow and felt super comfortable."
The Redhawks (1-2) shot 35.7 percent from the field in the second half, including 4 of 18 from 3-point range. Morgan Means led Seattle with 12 points, and Richaud Gittens added 18 points with six rebounds. Seven-foot-3 Aaron Menzies, who has been a big contributor for the Redhawks, was held to two points and seven rebounds.
"We unraveled and stopped making shots, and that affected our defense, but you got to give the other team credit," Seattle coach Jim Hayford said. "Washington State played eight minutes of really good basketball when we got that lead. You got to play all 40 minutes or it doesn't matter."
"To be 2-0 and growing up with this young team, it's really neat to see, because they are so different than the teams I have had here in the past," WSU coach Ernie Kent said. "Number one, it's the youngest team I have probably coached in my coaching career. Number two, it is a team that can really score."
Seattle: The Redhawks lost their first game of the season against St. Louis and set a program Division 1 record with a 121-point performance against the University of Puget Sound.
Washington State: In the first two games of the season, the Cougars have relied on second-half comebacks, outscoring the Redhawks 49-29 and Texas Southern 48-30.
Seattle University faces Detroit Mercy in Nashville on Saturday.
Washington State hosts Idaho State on Saturday.
Mannion, who recently reclassified and is ESPN's No.11 overall player in the class of 2019, chose Arizona over Marquette.
He'll fit in with Sean Miller's plans for a faster tempo on offense.
The cream of the crop of American high school basketball will congregate in Colorado Springs from Oct. 5-7, as USA Basketball unveils its newly expanded Junior National Team minicamp in collaboration with the NBA, NCAA and NBPA.