Question

answer attempt 1 out of 2
$x =$
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Explanation:

Step1: Identify angle relationship

Since lines \( m \) and \( n \) are parallel, the alternate interior angles \( (5x + 5)^\circ \) and \( (3x + 15)^\circ \) are equal. So we set up the equation:
\( 5x + 5 = 3x + 15 \)

Step2: Solve for \( x \)

Subtract \( 3x \) from both sides:
\( 5x - 3x + 5 = 15 \)
\( 2x + 5 = 15 \)

Subtract 5 from both sides:
\( 2x = 15 - 5 \)
\( 2x = 10 \)

Divide both sides by 2:
\( x = \frac{10}{2} \)
\( x = 5 \)

Answer:

\( x = 5 \)