Question

in the diagram below, $overline{de}$ is parallel to $overline{xy}$. what is the value of $y$? a. 80 b. 60 c. 100 d. 120

Explanation:

Step1: Identify angle - relationship

When two parallel lines are cut by a transversal, corresponding angles are equal. The 100 - degree angle and the angle with measure \(y^{\circ}\) are corresponding angles.

Step2: Set up the equation

Since corresponding angles are equal, we have \(y = 100\).

Answer:

C. 100