Question

4
in the diagram below, (overline{bd}) is parallel to (overline{xy}). what is the value of (y)?

a. 37
b. 113
c. 67
d. 23

Explanation:

Step1: Identify angle - type

Since $\overline{BD}$ is parallel to $\overline{XY}$, $y$ and the $67^{\circ}$ angle are corresponding angles.

Step2: Apply corresponding - angles property

Corresponding angles formed by parallel lines are congruent. So $y = 67^{\circ}$.

Answer:

C. 67