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Section 9-6

Learn about the angle theorems in a circle, including the angle formed by two chords inside the circle and two secants or tangents from a point outside the circle.

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Section 9-6

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  1. Section 9-6 Other Angles

  2. Theorem 9-9 • The measure of an angle formed by two chords that intersect inside a circle is equal to half the sum of the measures of the intercepted arcs.

  3. A D 1 C B

  4. Theorem 9-10 • The measure of an angle formed by two secants, two tangents, or a secant and a tangent drawn from a point outside a circle is equal to half the difference of the measures of the intercepted arcs.

  5. 1 Two secants:

  6. 2 Two tangents:

  7. 3 A secant and a tangent:

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