Travis Releford also netted 15 points as the Jayhawks (19-1, 7-0 Big 12) extended their nation's-best winning streak to 18 games in their first-ever game against the Mountaineers.
Ben McLemore helped out with 13 points for Kansas.
West Virginia (9-11, 2-5) was paced by Aaric Murray with 17 points and seven rebounds.
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