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Geometry 11-4 Inscribed Angles

Geometry 11-4 Inscribed Angles. Inscribed angle - an angle whose vertex is on the circle. Intercepted arc - the arc in between the sides of the angle. AC is the intercepted arc. A. 100 °. C. 50 °. B. Theorem 1. The inscribed angle is half the measure of the intercepted arc. Example.

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Geometry 11-4 Inscribed Angles

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  1. Geometry 11-4 Inscribed Angles • Inscribed angle- an angle whose vertex is onthe circle. • Intercepted arc- the arc in between the sides of the angle AC is the intercepted arc

  2. A 100° C 50° B Theorem 1 • The inscribed angle is half the measure of the intercepted arc.

  3. Example • Find each measure.

  4. Example • Find the value of a.

  5. Example • Determine the value of x. (3x – 20)° x°

  6. D C B A Theorem 2 • If a quadrilateral is inscribed in a circle, then its opposite angles are supplementary.

  7. Example • Find the value of b.

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