Question

solve for x.

Explanation:

Step1: Use the property of corresponding angles

Since \(EF\parallel GH\), \((3x + 23)^{\circ}\) and \((5x-1)^{\circ}\) are corresponding angles. Corresponding angles are equal. So, \(3x + 23=5x - 1\).

Step2: Solve the equation for \(x\)

Subtract \(3x\) from both sides: \(23 = 2x-1\).
Add \(1\) to both sides: \(24 = 2x\).
Divide both sides by \(2\): \(x = 12\).

Answer:

\(x = 12\)