60° 60

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Use the circle rules to find the missing information
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
1
86
= 65°
arcs
Half the
difference of the
measures of its
intercepted arcs
Outside a
circle
78
2 45
125
202
m21-극(202°-78°) m22=
-글(129°-45)
= 62
= 40°
Transcribed Image Text: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 1 86 = 65° arcs Half the difference of the measures of its intercepted arcs Outside a circle 78 2 45 125 202 m21-극(202°-78°) m22= -글(129°-45) = 62 = 40°
6) In this circle, what is Arc DC?
76°
A
45°
C
7) Orc AG is 88 degrees, What is angle x?
Transcribed Image Text:6) In this circle, what is Arc DC? 76° A 45° C 7) Orc AG is 88 degrees, What is angle x?
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