For what value of x will the lines l and m be parallel to each other?

Question:

For what value of $x$ will the lines / and $m$ be parallel to each other?

 

Solution:

$\Leftrightarrow 3 x+5+4 x=180$   [Consecutive Interior Angles]

$\Leftrightarrow 7 x=175$

$\Leftrightarrow x=25$

 

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