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How does the measure of each insribed angle compare with the degree measure of its intercepted arc?

How does the measure of each insribed angle compare with the degree measure of its intercepted arc?

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Guest [Entry]

The measure of each inscribed angle is exactly half the measure of its intercepted arc. Since they have the same intercepted arc, they have the same measure. ... Proof: The intercepted arc for an angle inscribed in a semi-circle is 180 degrees. Therefore the measure of the angle must be half of 180, or 90 degrees.