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in the diagram below, $overline{ab}$ is parallel to $overline{cd}$. wha…

Question

in the diagram below, $overline{ab}$ is parallel to $overline{cd}$. what is the value of $x$? a. 80 b. 100 c. 60 d. 120

Explanation:

Step1: Identify angle - relationship

Since $\overline{AB}\parallel\overline{CD}$, the 120 - degree angle and the angle with measure $x$ are corresponding angles.

Step2: Apply corresponding - angles property

Corresponding angles formed by two parallel lines and a transversal are congruent. So $x = 120$.

Answer:

D. 120