1. 11.3: INSCRIBED ANGLES Objectives: Students will be able to… Apply the relationship between an inscribed angle and the arc it intercepts Find the measures of an angle formed by a tangent and a chord

2. Inscribed Angle Theorem Inscribed Angle: sides are chords, vertex is on the circle THEOREM: The measure of an inscribed angle is half the measurement of the intercepted arc

3. Find the value of each variable. 108° c° a° b° 60°

4. Corollaries to Inscribed Angle Theorem 1. 2 inscribed angles that intercept the same arc are congruent 2. An angle inscribed in a semicircle is a right angle 3. The opposite angles of a quadrilateral inscribed in a circle are supplementary.

5. Find the values of the variables d° a° b° c° 100° 99°96°

6. Find the value of the variables 1.2. [ 40° a° P is the center of the circle. Pa° b°

7. Theorem The measure of an angle formed by a tangent and a chord is half the measure of the intercepted arc

8. Example: Find x.

9. Find the value of a. a° 300°