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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.7: Distinguishable Permutations And Combinations
Problem 11E
icon
Related questions
icon
Concept explainers
Topic Video
Question
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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Angles, Arcs, and Chords and Tangents
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage