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DeanR

Answer: 1

B is the center of a circle of radius 1.  A and C are on the circle 100 degrees apart.  So arc AC is 100 degrees.  Arc AC the long way around is 360-100=260 degrees.   That means any point D on arc AC will subtend a 130 degree angle.  BD is a radius for all of those, and the radius is 1.