Question

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

Explanation:

Step1: Identify angle - relationship

Since $\overline{BD}$ is parallel to $\overline{XY}$, the given $83^{\circ}$ angle and the angle labeled $x^{\circ}$ are corresponding angles.

Step2: Apply corresponding - angles property

Corresponding angles formed by two parallel lines and a transversal are congruent. So $x = 83$.

Answer:

D. 83