CONTINUATION THEOREMSOnline version Lesson 1 and 2 by Janna 1 Examples of inscribed polygon. 2 LESSON 1: CIRCLES AND RELATED SEGMENTS AND ANGLES Theorem 6.1.9 3 4 Theorem 6.2.1 Opposite angles of a inscribed quadrilateral are supplementary 5 LESSON 2: ANGLE MEASURES IN THE CIRCLE WHAT IS TANGENT?WHAT IS SECANT? 6 EXAMPLE 7 EXAMPLE 2 8 FIGURE 9 Intersecting Secant Theorem When two secants intersect outside a circle, the measure of the angle formed is equal to half the difference of the measures of the intercepted arcs. 10 Interior Angle An interior angle is formed when two chords (line segments connecting two points on the circle) intersect inside the circle. 11 Intercepted Arcs The sides of the interior angle cut out two arcs (portions of the circle's circumference) on the circle. 12 Theorem The measure of an interior angle is equal to half the sum of the measures of the two intercepted arcs. 13 Formula If the two intercepted arcs have measures of 'a' and 'b', then the measure of the interior angle (let's call it 'x') is calculated as: x = (a + b) / 2. 14 Example FIGURE
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