Question

solve for x and y.

x =

Explanation:

Step1: Use the property of parallelogram (opposite angles are equal)

In a parallelogram, opposite angles are equal. The angle of \(56^{\circ}\) and \(x\) are adjacent angles. Since consecutive angles in a parallelogram are supplementary (\(a + b=180^{\circ}\)), we have \(x + 56^{\circ}=180^{\circ}\).

Step2: Solve for \(x\)

Subtract \(56^{\circ}\) from both sides of the equation \(x + 56^{\circ}=180^{\circ}\). So \(x=180^{\circ}- 56^{\circ}=124^{\circ}\).

Answer:

\(x = 124^{\circ}\)