Module 19: Lesson 5 Angle Relationships in Circles Intersecting Chords Angle Measure Theorem If 2 chords intersect inside a circle, then the measure of each angle formed is half the sum of the measures of its intercepted arcs. B A 1 2 E See Your Turn #4 & #5 page 1057 D

Tangent-Secant Interior Angle Measure Theorem If a tangent and a secant (or chord) intersect on a circle at the point of tangency, the measure of the angle formed is half the measure of its intercepted arc. C B E A See example 2 page 1058

Tangent-Secant Exterior AngleMeasure Theorem If a tangent and a secant, 2 tangents, or 2 secants intersect in the exterior of a circle, then the measure of the angle formed is half the difference of the measures of its intercepted arcs. A See #8 page 1059 B C D

A See Example 3B page 1059 B C D

See Example 3A page 1059 A D B E C

Homework pages 1062-1067 #’s 3-16 (all), 19, 20