Meah made all-seven shot attempts from the floor and all four from the foul line.
Washington built a 10-0 lead and was up 25-14 on Jamal Bey's layup with 9:23 before halftime. But Seattle countered and outscored Washington 26-13 for a 40-38 halftime lead.
Seattle's Viktor Rajkovic made a 3-pointer and a jump shot 1:50 into the second half for a 47-40 advantage. The Huskies took control from there and outscored Seattle 25-3 in a little more than the next nine minutes.
Cameron Tyson scored 18 points for Seattle and Alex Schumacher 15.
The Pac-12 Huskies have pushed their consecutive-game win streak against the Redhawks to 17 in a series that started in an NCAA Tournament West Regional game in 1953. The Huskies (6-1) hold a 33-4 all-time series advantage against the Redhawks (5-1).
Seattle entered having won its first five games since the 2007-08 season when it was playing at the Division II level.
Washington opens Pac-12 play when it heads to Corvallis, Oregon on Thursday before hosting Colorado on Sunday.
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