1. Inscribed Angles 9.4

2. Warm Up Find each value. 1.mBCA 2.t Solve for x. 3.58 – x = 4 (x + 7) 4. 2 (x – 8) = 8

3. An inscribed angle has its vertex ON the circle and its sides are chords of the circle.

4. The measure of an inscribed angle is equal to half the measure of the arc. • m∠ACB = ½ measure of arc AB 60 40

5. If mAB=60 degrees. • Is AX = XB? • Is AC = BC? • Find ACB. • Find mACB. • Find mAXB.

6. An angle formed by a chord and a tangent is also equal to the half the arc that is created. m∠1 = ½ measure of arc AB In Circle C, what is m∠ABC?

7. Central InscribedAngle Angle

9. Find x

10. If KN = 50, then m1= • 2. If MN = 110, then m2= • 3. If KN = 70 and MN = 115, then KNM= • 4. If KPM = 170 and KP = 100, • then PM= • 5. If m 1 = 28, then KN= • 6. If m 2=76, then NM = • 7. If m 1 = 24 and m 2 = 68, • Then KNM= • 8. If m 1 = 28 and m 2 = 69, • then KPM=

11. If two inscribed angles intercept the same or congruent arcs, then the angles are congruent. 68 ̊

12. Find AB A B B A

13. Find mEDF.

14. Find x

15. Find x

16. Find a.

17. Find z.

18. In circle P, EN=66, m∠GPM=89 ̊, GN is a diameter. • GM b. NM • c. GE d. m  GEN • e. m  EGN f. m  EMN • g. m  GNM h. m  GME • i. m  EGM

19. In Circle Z, AB // DC, BC = 94 ̊̊ and m∠AZB = 104 ̊. • AB • mBAC • mADB

20. Find each measure. mDAE

22. Find the angle measures of GHJK.

23. Find the angle measures of JKLM.

24. Lesson Quiz: Part I Find each measure. 1. RUS 2. a 3. Find the angle measures of ABCD.