Question

solve for x.

Explanation:

Step1: Use the property of corresponding angles

When two parallel lines \(FG\) and \(HI\) are cut by a transversal \(DE\), the corresponding angles are equal. So, \(2x - 15=59\).

Step2: Solve the equation for \(x\)

Add \(15\) to both sides of the equation: \(2x=59 + 15\), which simplifies to \(2x=74\). Then divide both sides by \(2\): \(x=\frac{74}{2}\).

Answer:

\(x = 37\)