Antonio Reeves had 16 points and seven rebounds for Illinois State (9-19, 4-12 Missouri Valley Conference). DJ Horne added seven rebounds.
Drake scored 21 second-half points, a season low for the team.
Liam Robbins had 14 points and nine rebounds for the Bulldogs (18-11, 8-8). Jonah Jackson added 12 points. Roman Penn had six rebounds and six assists.
The Redbirds leveled the season series against the Bulldogs with the win. Drake defeated Illinois State 84-74 on Jan. 16. Illinois State faces Bradley at home on Wednesday. Drake matches up against Loyola of Chicago on the road on Tuesday.
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