Question

question 8 of 10
in the diagram below, $overline{ab}$ is parallel to $overline{cd}$. what is the value of $y$?

a. 55
b. 135
c. 65
d. 45

Explanation:

Step1: Recall angle - property of parallel lines

When two parallel lines are cut by a transversal, corresponding angles are equal. Here, the angle marked \(y\) and the \(45^{\circ}\) angle are corresponding angles.

Step2: Determine the value of \(y\)

Since corresponding angles are equal for parallel lines \(\overline{AB}\) and \(\overline{CD}\) cut by a transversal, \(y = 45^{\circ}\).

Answer:

D. 45