Question

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

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 measure $83^{\circ}$ and the angle of measure $y^{\circ}$ are corresponding angles.
So, $y = 83$.

Answer:

C. 83