Question

central angle theorem

Answer 1

An explanation of the central angle theorem is that it is simply the measure of the central angle is equal to 2x the measure of the inscribed angle subtended by the same arc. 
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Answer 2

AOB is a central angle .its intercepted arc is the minor arc from A to B =80degree. theorem involving central angles: In a circle or congruent circles congruent central angle have congruent arcs