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
Related questions
Question
![**Question**
Given \( l \parallel m \parallel n \), find the value of \( x \).
**Diagram Explanation**
The diagram consists of three parallel lines labeled \( l \), \( m \), and \( n \). A transversal intersects these lines, forming two alternate interior angles.
- One angle is labeled \( 62^\circ \).
- The other angle is labeled \( (9x + 19)^\circ \).
Since \( l \parallel m \parallel n \) and the angles are alternate interior angles, they are equal. Therefore, we can set up the equation:
\[ 62 = 9x + 19 \]
Solve for \( x \) to find the value.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F72ce9657-c8e0-4c19-a879-d1fcd8b6b342%2F0953fd0c-a893-4c84-8a85-72f1dcbecca5%2F8itjbkl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question**
Given \( l \parallel m \parallel n \), find the value of \( x \).
**Diagram Explanation**
The diagram consists of three parallel lines labeled \( l \), \( m \), and \( n \). A transversal intersects these lines, forming two alternate interior angles.
- One angle is labeled \( 62^\circ \).
- The other angle is labeled \( (9x + 19)^\circ \).
Since \( l \parallel m \parallel n \) and the angles are alternate interior angles, they are equal. Therefore, we can set up the equation:
\[ 62 = 9x + 19 \]
Solve for \( x \) to find the value.
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