Question

in the diagram below, $overline{ab}$ is parallel to $overline{cd}$. what is the value of $x$? a. 30 b. 60 c. 120 d. 150

Explanation:

Step1: Identify angle - relationship

Since $\overline{AB}\parallel\overline{CD}$, the angle with measure $30^{\circ}$ and the angle with measure $x^{\circ}$ are corresponding angles.

Step2: Apply corresponding - angles property

Corresponding angles formed by two parallel lines and a transversal are congruent. So $x = 30$.

Answer:

A. 30