Question

solve for x.

x =

Explanation:

Step1: Use the property of consecutive interior angles

When two parallel lines are cut by a transversal, consecutive interior angles are supplementary. So, \((8x + 17)+115 = 180\).

Step2: Simplify the equation

\(8x+17 + 115=180\) simplifies to \(8x+132 = 180\).

Step3: Solve for \(x\)

Subtract \(132\) from both sides: \(8x=180 - 132\), so \(8x = 48\). Then divide both sides by \(8\): \(x=\frac{48}{8}\).

Answer:

\(6\)