Geometry 11-4 Inscribed Angles - PowerPoint PPT Presentation

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Geometry 11-4 Inscribed Angles

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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 – PowerPoint PPT presentation

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Title: Geometry 11-4 Inscribed Angles


1
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
2
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
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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