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Inscribed Angles

An inscribed angle is an angle with its vertex (B) on a circle and radii for sides. It intercepts an arc on the circle (arc AC)

An inscribed angle is an angle with its vertex (B)  on a circle and radii for sides. It intercepts an arc on the circle (arc AC)
Drag points B,C, and D. Compare the measures of the inscribed angle D and arc EC.

The measure of an inscribed angle is always ________ the measure of the intercepted arc.

If an inscribed angle intercepts an arc of 80 degrees, what is the measure of the angle?

An inscribed angle measures 60 degrees. What is the measure of the intercepted arc?

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