Question

10
in the diagram below, $overline{bd}$ is parallel to $overline{xy}$. what is the value of $y$?
a. 97
b. 73
c. 83
d. 87

Explanation:

Step1: Recall parallel - line property

When two parallel lines are cut by a transversal, corresponding angles are equal.

Step2: Identify corresponding angles

The angle of 83° and angle \(y\) are corresponding angles formed by parallel lines \(\overline{BD}\) and \(\overline{XY}\) cut by a transversal.

Step3: Determine the value of \(y\)

Since corresponding angles are equal, \(y = 83\).

Answer:

C. 83