Two tangents of a circle meet to form an angle of 60 degrees. The smaller arc between them is 120 degrees. What is the larger one? (Hlnt: Draw a picture to help).

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
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Arial
I U
11
B
叫。 三 、 市
E E
4.
5
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
MEASURE
THE ANGLE
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
(44° + 86°)
m21 =
44
86
= 65°
arcs
Outside a
circle
Half the
difference of the
measures of its
intercepted arcs
78
202
<2 45
125
= }(202° – 78°) m22 = }(125° – 45°)
= 62
= 40°
4) What is Arc WF
MacBook
日
Transcribed Image Text:File Edit View Insert Format Tools Add-ons Help Last edit was 4 minutes ago 100% Normal text Arial I U 11 B 叫。 三 、 市 E E 4. 5 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 MEASURE THE ANGLE 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 (44° + 86°) m21 = 44 86 = 65° arcs Outside a circle Half the difference of the measures of its intercepted arcs 78 202 <2 45 125 = }(202° – 78°) m22 = }(125° – 45°) = 62 = 40° 4) What is Arc WF MacBook 日
10)
Two tangents of a circle meet to form an angle of 60 degrees. The smaller arc between them is
120 degrees. What is the larger one? (Hlnt: Draw a picture to help).
MacBook
Transcribed Image Text:10) Two tangents of a circle meet to form an angle of 60 degrees. The smaller arc between them is 120 degrees. What is the larger one? (Hlnt: Draw a picture to help). MacBook
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