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Given l m | n, find the value of x. 1. 135° m 11,626 EXXun NOV

Given l m | n, find the value of x. 1. 135° m 11,626 EXXun NOV

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Problem Statement:** Given \( l \parallel m \parallel n \), find the value of \( x \). **Diagram Explanation:** In the diagram, there are three parallel lines \( l \), \( m \), and \( n \). A transversal intersects these lines, forming angles. - The angle formed between line \( l \) and the transversal is marked as \( 135^\circ \). - The angle of interest at line \( n \) is marked as \( x^\circ \). **Solution:** Since \( l \parallel m \parallel n \), the alternate interior angles formed by a transversal are equal. Therefore, the angle corresponding to the \( 135^\circ \) angle on line \( n \) will be the same. This makes \( x = 135^\circ \). The value of \( x \) is \( 135^\circ \).
Transcribed Image Text:**Problem Statement:** Given \( l \parallel m \parallel n \), find the value of \( x \). **Diagram Explanation:** In the diagram, there are three parallel lines \( l \), \( m \), and \( n \). A transversal intersects these lines, forming angles. - The angle formed between line \( l \) and the transversal is marked as \( 135^\circ \). - The angle of interest at line \( n \) is marked as \( x^\circ \). **Solution:** Since \( l \parallel m \parallel n \), the alternate interior angles formed by a transversal are equal. Therefore, the angle corresponding to the \( 135^\circ \) angle on line \( n \) will be the same. This makes \( x = 135^\circ \). The value of \( x \) is \( 135^\circ \).
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