Question

in the diagram below, $overline{ab}$ is parallel to $overline{cd}$. what is the value of $y$?
a. 30
b. 90
c. 60
d. 120

Explanation:

Step1: Identify angle - relationship

Since $\overline{AB}$ is parallel to $\overline{CD}$, $y^{\circ}$ and the $60^{\circ}$ angle are corresponding angles.

Step2: Apply corresponding - angles property

Corresponding angles formed by two parallel lines and a transversal are equal. So $y = 60$.

Answer:

C. 60