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Geometry
Angle Relationships in Circles
Problem Set
Find the indicated arc measure.
1. m AB
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2. m FH
3. m JKL
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Find m< 1.
In Exercises 13–17, find the value of x.
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18. In the diagram shown, m is tangent to the circle at the point S. Find the measures of all the
numbered angles.
a.
b.
c.
d.
<1
<2
<3
<4
19. Use the diagram shown to find the measure of the angle.
a. m < CAF
b. m < AFB
c. m < CEF
d. m < CFB
e. m < DCF
f. m < BCD
In Exercises 20 and 21, the circles are concentric. Find the value of x.
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21.