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Concept

Intercepted Arc

An intercepted arc is an arc with endpoints on the sides of an angle and its other points in the interior of the angle. It can be formed by either an inscribed or a central angle.
The measure of an arc intercepted by a central angle is equal to the measure of that central angle. The relationship between the measure of an intercepted arc and the measure of an inscribed angle is described by the Inscribed Angle Theorem.