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 6:** Solve for \( x \).
**Options:**
A. 6
B. 11
C. 12
D. 5
**Diagram Explanation:**
The image contains a diagram with two intersecting lines. One angle formed by these lines is labeled \( 80^\circ \), and the adjacent angle is labeled \( 20 + 5x \). These two angles are supplementary, meaning their sum equals \( 180^\circ \).
To solve for \( x \), follow these steps:
1. Set up the equation based on the supplementary angles:
\[
80 + (20 + 5x) = 180
\]
2. Simplify and solve for \( x \):
\[
80 + 20 + 5x = 180
\]
\[
100 + 5x = 180
\]
\[
5x = 80
\]
\[
x = 16
\]
However, since none of the provided answers (A, B, C, D) provide 16, there may be an issue with the transcription or a trick in the problem. Double-check the provided angle values and ensure the answer choices align with the problem constraints.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9eccf28a-8a90-458f-8d39-d433eca44f7a%2Fdd853bd3-6a87-4f4a-916f-f39fc6f7243d%2Fcl37rv_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question 6:** Solve for \( x \).
**Options:**
A. 6
B. 11
C. 12
D. 5
**Diagram Explanation:**
The image contains a diagram with two intersecting lines. One angle formed by these lines is labeled \( 80^\circ \), and the adjacent angle is labeled \( 20 + 5x \). These two angles are supplementary, meaning their sum equals \( 180^\circ \).
To solve for \( x \), follow these steps:
1. Set up the equation based on the supplementary angles:
\[
80 + (20 + 5x) = 180
\]
2. Simplify and solve for \( x \):
\[
80 + 20 + 5x = 180
\]
\[
100 + 5x = 180
\]
\[
5x = 80
\]
\[
x = 16
\]
However, since none of the provided answers (A, B, C, D) provide 16, there may be an issue with the transcription or a trick in the problem. Double-check the provided angle values and ensure the answer choices align with the problem constraints.
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