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

Question

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

Explanation:

Answer:

To find the value of \( x \) given that \( l \parallel m \parallel n \), we use the property of supplementary angles (since a straight line is \( 180^\circ \)):

The angle of \( 124^\circ \) and \( x^\circ \) are supplementary (they form a linear pair), so:

\[
124 + x = 180
\]

Solving for \( x \):

\[
x = 180 - 124 = 56
\]

So the value of \( x \) is \( \boxed{56} \).