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Theorem 9-9

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## Theorem 9-9

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**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. A D 1 C B**Theorem 9-10**• The measure of an angle formed by two secants, two tangents or a secant and a tangent from a point outside a circle is equal to half the difference of the measures of the intercepted arcs. A D 1 C B**Case 1: 2 Secants**m ArcA m ArcB 1**Case 2: 2 Tangents**m Arc A m ArcB 1**Case 3: 1 Secant/1 Tangents**m Arc A m ArcB 1