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Secant-Secant Angles Interior Secant Angle – An angle formed when two secants intersect inside a circle. Theorem 10.13 • A secant angle whose vertex is inside a circle is equal in measure to half the sum of the arcs intercepted by it and its vertical angle. mABE = 62.05 m AE on FC = 89.28 mDBC = 62.05 m DC on FC = 34.82 1 2 m AE on FC = 62.05 FC+m DC on E A B C D Find if Answer: 138 and Secant-Secant Angles Exterior Secant Angle – An angle formed when two secants intersect outside a circle. Theorem 10.14 • A secant angle whose vertex is outside a circle is equal in measure to half the difference of its larger and smaller intercepted arcs. mCBA = 25.41 m ED on FG = 21.03 m CA on FG = 71.84 1 2 m CA on C FG-m ED on FG = 25.41 E B D A Find x. Answer: 111 Tangent-Tangent Angles Tangent-Tangent Angle – An angle formed when two tangents intersect in the exterior of a circle. Theorem 10.14 • A tangent-tangent angle whose vertex is outside a circle is equal in measure to half the difference of its larger and smaller intercepted arcs. B E A C D PARKS Two sides of a fence to be built around a circular garden in a park are shown. Use the figure to determine the measure of Answer: 75