Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Question
Use the circle rules to find the missing information
Transcribed Image Text:7) Arc AC is 88 degrees. What is angle x?
B
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11
B
1.
.| I1
3
4
6.
目
60°
60
B
Central Angles are equal to the arc it intercepts.
Arc AB = Angle AQB, because AQB is a central angle.
Angle Relationships in Circles
VERTEX OF
MEASURE
THE ANGLE
OF ANGLE
DIAGRAMS
Half the
measure of its
On a circle
200
intercepted arc
1
120
m21 = 60°
m22 = 100°
Inside a circle Half the sum of
the measures of
its intercepted
m21 =(44 + 86°)
44
86
= 65°
arcs
Outside a
Half the
difference of the
measures of its
intercepted arcs
circle
(78
202
45"
125
m21 = (202° - 78) mz2 = (125° - 45°)
%3D
%3D
= 62°
= 40°
II
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