In the circle below arc AC is 140 degrees what is angle ABC?

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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In the circle below arc AC is 140 degrees what is angle ABC?
1
2
3
4
I| 5 I| E
C
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
On a circle
Half the
measure of its
200
intercepted arc
120°
m21 = 60°
m22 = 100°
Inside a circle Half the sum of
the measures of
its intercepted
m21 =(44° + 86°)
%3D
44
1.
86
= 65°
arcs
Half the
difference of the
measures of its
intercepted arcs
Outside a
circle
(78°
2 45
125
202
m21 (202°- 78°) m22 =(125°-45°)
= 62°
= 40°
Transcribed Image Text:1 2 3 4 I| 5 I| E C 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 On a circle Half the measure of its 200 intercepted arc 120° m21 = 60° m22 = 100° Inside a circle Half the sum of the measures of its intercepted m21 =(44° + 86°) %3D 44 1. 86 = 65° arcs Half the difference of the measures of its intercepted arcs Outside a circle (78° 2 45 125 202 m21 (202°- 78°) m22 =(125°-45°) = 62° = 40°
A
C
Transcribed Image Text:A C
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