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find the value of x that makes m || n.

Question

find the value of x that makes m || n.

Explanation:

Step1: Use corresponding - angles property

When $m\parallel n$, the corresponding angles are equal. So, $3x = 2x + 20$.

Step2: Solve the equation for $x$

Subtract $2x$ from both sides of the equation $3x=2x + 20$. We get $3x-2x=2x + 20-2x$.
$x = 20$.

Answer:

$x = 20$