Question

solve for x.

Explanation:

Step1: Use the property of same - side interior angles

When two parallel lines are cut by a transversal, same - side interior angles are supplementary. That is, \((8x + 17)+115 = 180\)

Step2: Simplify the equation

First, combine the constant terms: \(8x+17 + 115=8x + 132\). So the equation becomes \(8x+132 = 180\)

Step3: Solve for \(x\)

Subtract 132 from both sides of the equation: \(8x=180 - 132\). Then \(8x = 48\). Divide both sides by 8: \(x=\frac{48}{8}\)

Answer:

\(x = 6\)