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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![### Question 13
**Given the following circle, find the value of x.**
The diagram consists of a circle with a chord dividing the circle into two segments. There are two line segments, both marked with a length of 5 units. Additionally, the diagram indicates an angle of 180 degrees on the left side of the chord and an angle labeled as \( x^\circ \) on the right side of the chord.
The chord creates two equal line segments and the circle indicates a clear division with specified angles.
To solve for \( x \):
- We know that the sum of angles around a point is 360 degrees.
- Since the given angle is a straight angle (180 degrees), \( x \) must be complementary to 180 degrees to form the full circle.
Thus,
\[ x = 180^\circ \]
Therefore, the value of \( x \) is 180 degrees.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa7c29d2f-5cf3-43f5-aa90-abc5a822140a%2Fc8c2ae7f-a39f-43a7-9104-5b8170add094%2F9mybzir_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Question 13
**Given the following circle, find the value of x.**
The diagram consists of a circle with a chord dividing the circle into two segments. There are two line segments, both marked with a length of 5 units. Additionally, the diagram indicates an angle of 180 degrees on the left side of the chord and an angle labeled as \( x^\circ \) on the right side of the chord.
The chord creates two equal line segments and the circle indicates a clear division with specified angles.
To solve for \( x \):
- We know that the sum of angles around a point is 360 degrees.
- Since the given angle is a straight angle (180 degrees), \( x \) must be complementary to 180 degrees to form the full circle.
Thus,
\[ x = 180^\circ \]
Therefore, the value of \( x \) is 180 degrees.
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