Question

what value of x will ensure that the seat of the bench is parallel to the ground?

Explanation:

Step1: Use the property of parallel lines and transversals

When two parallel lines are cut by a transversal, consecutive interior angles are supplementary (sum to \(180^{\circ}\)).

Step2: Set up the equation

If the seat of the bench is parallel to the ground, then \(x + 130^{\circ}=180^{\circ}\).

Step3: Solve for \(x\)

Subtract \(130^{\circ}\) from both sides of the equation: \(x=180^{\circ}- 130^{\circ}\).

Answer:

\(x = 50^{\circ}\)