1. 10.4 Inscribed Angles Inscribed angle: an angle inside the circle with sides that are chords and a vertex on the edge of the circle  Inscribed angle = ½ intercepted arc An inscribed right angle, always intercepts a semicircle If two or more inscribed angles intercept the same arc, they are congruent

2. A B C D E X Inscribed angles: angle BAC, angle CAD, angle DAE, angle BAD, angle BAE, angle CAE Ex: Angle DAE = ½ arc DE

3. B A C D E F G Inscribed angle BAC intercepts a semicircle- so angle BAC =90 Inscribed angles GDF and GEF both intercept arc GF, so the angles are congruent

4. A. Find m  X.

5. Refer to the figure. Find the measure of angles 1, 2, 3 and 4.

6. ALGEBRA Find m  R.

7. ALGEBRA Find m  I.

8. ALGEBRA Find m  B.

9. ALGEBRA Find m  D.

10. The insignia shown is a quadrilateral inscribed in a circle. Find m  S and m  T.