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
![**Problem Statement:**
**Solve for \( x \).**
The diagram shows two intersecting lines, forming vertical angles. One angle is labeled \( 114^\circ \) and the opposite angle is labeled \( 10x + 14 \).
**Solution Choices:**
- \(-6\)
- \(10\)
- \(-9\)
- \(11\)
**Explanation:**
In the diagram, the lines intersect, and the vertical angles formed are congruent. Therefore:
\[ 10x + 14 = 114 \]
By solving this equation, determine the correct value of \( x \) from the given choices.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F732b95a8-7132-4f0e-81c2-3f8be393d7fc%2F1075a1e8-9e5a-49b7-966b-5bd0f33f050c%2Fiwszlzp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
**Solve for \( x \).**
The diagram shows two intersecting lines, forming vertical angles. One angle is labeled \( 114^\circ \) and the opposite angle is labeled \( 10x + 14 \).
**Solution Choices:**
- \(-6\)
- \(10\)
- \(-9\)
- \(11\)
**Explanation:**
In the diagram, the lines intersect, and the vertical angles formed are congruent. Therefore:
\[ 10x + 14 = 114 \]
By solving this equation, determine the correct value of \( x \) from the given choices.
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