Question

there is a diagram with two parallel horizontal lines cut by a transversal. one of the angles formed is 60 degrees, and there is an expression 8x - 4 related to the angles formed by the parallel lines and the transversal.

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. So, \(60^{\circ}+(8x - 4)^{\circ}=180^{\circ}\).

Step2: Solve the equation for \(x\)

First, simplify the equation:

$$
LATEXBLOCK0
$$

Answer:

\(x = 15.5\)