Question

answer attempt 1 out of 2

x =
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Explanation:

Step1: Use the property of alternate interior angles

Since lines \(m\) and \(n\) are parallel and \(t\) is a transversal, the angles \((8x - 5)^{\circ}\) and \((x + 5)^{\circ}\) are supplementary. So, \((8x-5)+(x + 5)=180\).

Step2: Simplify the equation

Combine like - terms: \(8x-5+x + 5=180\), which simplifies to \(9x=180\).

Step3: Solve for \(x\)

Divide both sides of the equation \(9x = 180\) by \(9\). So, \(x=\frac{180}{9}\).

Answer:

\(20\)