7) Arc AC is 88 degrees. What is angle x? B C mathwarehouse.com

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.1: Angles
Problem 25E
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Use the circle rules to find the missing information
2.
7)
Arc AC is 88 degrees. What is angle x?
mathwarehouse.com
Transcribed Image Text:2. 7) Arc AC is 88 degrees. What is angle x? mathwarehouse.com
3
4
7
C
60°
60°
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
THE ANGLE
MEASURE
OF ANGLE
DIAGRAMS
On a circle
Half the
measure of its
intercepted arc
200
120
m21 = 60°
m22 = 100°
Inside a circle Half the sum of
the measures of
its intercepted
m21 =(44° + 86°)
%3D
44
86
= 65
arcs
Half the
difference of the
measures of its
intercepted arcs
Outside a
circle
78
45
125
202
m21 = (202° - 78°) m2 = (125°-45°)
%3D
= 62
= 40°
Vo
Transcribed Image Text:3 4 7 C 60° 60° 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 THE ANGLE MEASURE OF ANGLE DIAGRAMS On a circle Half the measure of its intercepted arc 200 120 m21 = 60° m22 = 100° Inside a circle Half the sum of the measures of its intercepted m21 =(44° + 86°) %3D 44 86 = 65 arcs Half the difference of the measures of its intercepted arcs Outside a circle 78 45 125 202 m21 = (202° - 78°) m2 = (125°-45°) %3D = 62 = 40° Vo
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