# ARCS CENTRAL ANGLES AND INSCRIBED ANGLES WORKSHEET

Find the measure of angle indicated.

Problem 1 :

Find ∠G

Solution

Problem 2 :

Solution

Problem 3 :

Solution

Problem 4 :

Find measure of arc TV.

Solution

Problem 5 :

Find measure of arc RS and m∠STR. What do you notice about m∠STR and m∠RUS.

Solution

Problem 6 :

Find the following.

Solution

Problem 7 :

Find the values of x and y.

Solution

Problem 8 :

Find ∠BAC

Solution

Problem 9 :

Solution

Problem 10 :

Solution

1)  ∠HGF = 45

2)  ∠RTS = 24

3)  x = 102

4)  Measure of arc TV = 76

5)  m∠RTS = 31

6)  ∠ZXW = 72

7)  y = 41

8)  ∠BAC = 40

9)  Measure of arc DC = 61(2)  ==> 132.

10)  Measure of arc SQ = 95

Problem 11 :

Solution

Problem 12 :

Solution

Problem 13 :

Solution

Problem 14 :

Solution

Problem 15 :

Solution

Problem 16 :

Solution

11)  ∠BAC = 40

12)  Measure of arc WV = 42(2) ==> 84

13)  Measure of arc PD = 110

14)  x = 3

15)  x = 10

16)

a) Find BC = 6

b) What is the measure of ∠ACB = 90 degree

c)  What is the measure of arc AE = 144

d)  Is triangle ACB similar to triangle ECD = yes

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