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9-5 Inscribed Angles
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Inscribed angles -- An angle whose vertex is on a circle and whose sides contain chords of the circle.
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Measures of inscribed angles
Theorem: The measure of an inscribed angle is equal to half the measure of its intercepted arc.
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Examples
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Corollary If 2 inscribed angles intercept the same arc, then the angles are congruent.
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Corollary An angle inscribed in a semicircle is a right angle.
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Corollary If a quadrilateral is inscribed in a circle, then its opposite angles are supplementary.
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How do you find the measure of angle 1
How do you find the measure of angle 1? Is that true for wherever B goes?
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Theorem The measure of an angle formed by a chord and a tangent is equal to half the measure of the intercepted arc.
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