QUESTION IMAGE
Question
given ( l parallel m parallel n ), find the value of ( x ).
Step1: Identify the relationship
Since \( l \parallel m \parallel n \), the \( 124^\circ \) angle and \( (5x - 4)^\circ \) angle are equal (corresponding angles or alternate interior angles, depending on the transversal, but since lines are parallel, they are equal). So we set up the equation:
\( 5x - 4 = 124 \)
Step2: Solve for \( x \)
Add 4 to both sides of the equation:
\( 5x = 124 + 4 \)
\( 5x = 128 \)? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no,…
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Step1: Identify the relationship
Since \( l \parallel m \parallel n \), the \( 124^\circ \) angle and \( (5x - 4)^\circ \) angle are equal (corresponding angles or alternate interior angles, depending on the transversal, but since lines are parallel, they are equal). So we set up the equation:
\( 5x - 4 = 124 \)
Step2: Solve for \( x \)
Add 4 to both sides of the equation:
\( 5x = 124 + 4 \)
\( 5x = 128 \)? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? Wait, no, 124 + 4 is 128? 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