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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help me out thanks!
![This image presents a quadrilateral with four interior angles. The angles are labeled as follows: \(60^\circ\), \(91^\circ\), \(120^\circ\), and \(x\). The problem asks you to solve for \(x\).
To find the value of \(x\), you can use the fact that the sum of interior angles in a quadrilateral is \(360^\circ\).
The equation to solve is:
\[
60^\circ + 91^\circ + 120^\circ + x = 360^\circ
\]
Combine the known angles:
\[
60 + 91 + 120 = 271
\]
Then, subtract from 360 to find \(x\):
\[
x = 360 - 271 = 89^\circ
\]
So, \(x = 89^\circ\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1e449208-cf4f-4e53-8cac-e5c4c8cafa96%2F379949e1-3c98-4df0-8b74-a5c849911a5b%2Fxbu0dzx_processed.png&w=3840&q=75)
Transcribed Image Text:This image presents a quadrilateral with four interior angles. The angles are labeled as follows: \(60^\circ\), \(91^\circ\), \(120^\circ\), and \(x\). The problem asks you to solve for \(x\).
To find the value of \(x\), you can use the fact that the sum of interior angles in a quadrilateral is \(360^\circ\).
The equation to solve is:
\[
60^\circ + 91^\circ + 120^\circ + x = 360^\circ
\]
Combine the known angles:
\[
60 + 91 + 120 = 271
\]
Then, subtract from 360 to find \(x\):
\[
x = 360 - 271 = 89^\circ
\]
So, \(x = 89^\circ\).
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