Presentation on theme: "1 Lesson 10-5 Apply Other Angle Relationships in Circles."— Presentation transcript:
1 Lesson 10-5 Apply Other Angle Relationships in Circles
2 Angles Inside the Circle Theorem (Interior Angle Theorem) Angles that are formed by two intersecting chords.Definition: The measure of the angle formed by the two intersecting chords is equal to ½ the sum of the measures of the intercepted arcs. Interior Angle Theorem: 1 A B C D E 2
3 A B C D x°x° 91 85 Example: Interior Angle Theorem y°y°
5 Exterior Angles An angle formed by two secants, two tangents, or a secant and a tangent drawn from a point outside the circle. 3 y x 2 y x 1 x y Two secants A secant and a tangent 2 tangents
6 Angles Outside the Circle Theorem (Exterior Angle Theorem) The measure of the angle formed is equal to ½ the difference of the intercepted arcs.