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10.4 Inscribed Angles. Inscribed Angle. An angle with vertex on a circle and sides that contain chords of the circle. Thrm. The measure of an inscribed angle is ½ the measure of the intercepted arc. 102. Corallary.
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Inscribed Angle • An angle with vertex on a circle and sides that contain chords of the circle.
Thrm • The measure of an inscribed angle is ½ the measure of the intercepted arc. 102
Corallary • If two inscribed angles intercept the same arc, then the angles are congruent. EX 80
Corallary • If a quadrilateral is inscribed in a circle, then its opposite angles are supplementary.
Corallary • An angle inscribed in a semicircle is a right angle. Also, if an inscribed angle is right its intercepted arc is a semicircle. 90
Thrm • The measure of a tangent-chord angle is ½ the measure of its intercepted arc. 220 110
Examples 112
Examples (cont) B A C D