Question

answer attempt 1 out of 3
$x=$
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Explanation:

Step1: Use the property of alternate - interior angles

If two parallel lines \(m\) and \(n\) are cut by a transversal \(t\), then the alternate - interior angles are equal. So, \(3x + 5=6x-19\).

Step2: Solve the equation for \(x\)

Subtract \(3x\) from both sides of the equation:
\(3x + 5-3x=6x-19 - 3x\)
\(5 = 3x-19\)
Add \(19\) to both sides:
\(5 + 19=3x-19 + 19\)
\(24 = 3x\)
Divide both sides by \(3\):
\(x=\frac{24}{3}\)

Answer:

\(x = 8\)