AC is a diameter, if angle DOB is equal to 2n degrees and arc BC is equal to arc CD, what is angle CAD?

Central angles and inscribed angles of a circle

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Because the arc lengths angle BOC=COD because OB, OC and OD are radii. BOC+COD=DOB=2n so BOC=COD=2n/2=n. Angle COD=n is the external angle to isosceles triangle OAD, where angles CAD=OAD=ODA. COD=n=OAD+ODA, so CAD+OAD=ODA=n/2.

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