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How to find the value of x that makes m and n parallel

How to find the value of x that makes m and n parallel

Elementary Geometry For College Students, 7e
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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How to find the value of x that makes m and n parallel

In the image, there are two geometric diagrams labeled with the numbers 6 and 9, each illustrating a pair of parallel lines intersected by a transversal. **Diagram 6:** - Two parallel lines labeled \( m \) and \( n \). - A transversal intersects these lines. - Angles formed at the intersection with line \( m \) are \( 80^\circ \) and \((x - 15)^\circ\). **Diagram 9:** - Two parallel lines labeled \( m \) and \( n \). - A different transversal intersects these parallel lines. - Angles formed at the intersection with line \( m \) are \((x + 20)^\circ\) and \(x^\circ\). These diagrams serve to illustrate the concept of corresponding and supplementary angles formed when a transversal crosses parallel lines, often used to find unknown angle measures.
Transcribed Image Text:In the image, there are two geometric diagrams labeled with the numbers 6 and 9, each illustrating a pair of parallel lines intersected by a transversal. **Diagram 6:** - Two parallel lines labeled \( m \) and \( n \). - A transversal intersects these lines. - Angles formed at the intersection with line \( m \) are \( 80^\circ \) and \((x - 15)^\circ\). **Diagram 9:** - Two parallel lines labeled \( m \) and \( n \). - A different transversal intersects these parallel lines. - Angles formed at the intersection with line \( m \) are \((x + 20)^\circ\) and \(x^\circ\). These diagrams serve to illustrate the concept of corresponding and supplementary angles formed when a transversal crosses parallel lines, often used to find unknown angle measures.
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