Question

solve for x.

Explanation:

Step1: Identify angle - relationship

The angles \(73^{\circ}\) and \((8x + 11)^{\circ}\) are corresponding angles. Corresponding angles formed by a transversal intersecting two parallel lines are equal.
So, we set up the equation \(8x+11 = 73\).

Step2: Solve the equation for \(x\)

Subtract 11 from both sides of the equation: \(8x=73 - 11\).
\(8x=62\).
Then divide both sides by 8: \(x=\frac{62}{8}=\frac{31}{4}=7.75\).

Answer:

\(7.75\)