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QUESTION IMAGE

given ( l parallel m parallel n ), find the value of ( x ).

Question

given ( l parallel m parallel n ), find the value of ( x ).

Explanation:

Step-by-Step Explanation:

Step 1: Apply the property of supplementary angles in a transversal

Since \( l\parallel m\parallel n \) and for the transversal intersecting them, the sum of an angle and its adjacent angle is \( 180^{\circ} \). So, \( (x - 6)^{\circ}+60^{\circ}=180^{\circ} \).

Step 2: Solve the equation for \( x \)

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Answer:

\( x = 126 \)