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
![**Determine the value of x.**
The diagram shows a straight angle which is split into two adjacent angles. The left angle is labeled \(5x^\circ\) and the right angle is labeled \(80^\circ\).
To solve for \(x\), use the fact that the sum of all angles on a straight line is \(180^\circ\).
We write the equation:
\[5x + 80 = 180\]
To isolate \(x\), subtract \(80\) from both sides:
\[5x = 100\]
Next, divide by \(5\):
\[x = 20\]
Therefore, the value of \(x\) is \(20\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbdfc325e-b332-4a9e-8ae8-ec5e9b59c54e%2F5c4f7979-89bf-4645-a32d-e55dedfdc946%2Fbliz1dq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Determine the value of x.**
The diagram shows a straight angle which is split into two adjacent angles. The left angle is labeled \(5x^\circ\) and the right angle is labeled \(80^\circ\).
To solve for \(x\), use the fact that the sum of all angles on a straight line is \(180^\circ\).
We write the equation:
\[5x + 80 = 180\]
To isolate \(x\), subtract \(80\) from both sides:
\[5x = 100\]
Next, divide by \(5\):
\[x = 20\]
Therefore, the value of \(x\) is \(20\).
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