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Question Given || l m ||n, find the value of x. 62° (9x+19) Watch Video m n

Question Given || l m ||n, find the value of x. 62° (9x+19) Watch Video m n

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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**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.
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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