Moses was chosen Friday at No. 66 overall.
Moses addresses one of the Redskins' most pressing offseason goals - improving the offensive line. He could compete with Tyler Polumbus for the starting right tackle job.
The 6-foot-6, 314-pound Moses played right tackle for two years for the Cavaliers before moving to left tackle in 2012 and 2013. He didn't lift weights at the NFL Combine because of a left shoulder injury.
Earlier Friday, the Redskins picked linebacker Trent Murphy of Stanford in the second round. They also traded down to acquire another third-round pick.
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