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 given is \(56^{\circ}\), and \(x\) is opposite to it. So \(x = 56^{\circ}\).

Step2: Use the property of adjacent angles in a parallelogram (supplementary)

Adjacent angles in a parallelogram are supplementary (\(a + b=180^{\circ}\)). Let the given angle be \(a = 56^{\circ}\), and \(y\) be adjacent to it. Then \(y+56^{\circ}=180^{\circ}\), so \(y = 180^{\circ}- 56^{\circ}=124^{\circ}\).

Answer:

\(x = 56^{\circ}\), \(y = 124^{\circ}\)