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. m∠ACB = ½ measure of arc AB
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 Inscribed Angle 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 ̊.
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.