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3 in the diagram below, $overline{de}$ is parallel to $overline{xy}$. w…

Question

3
in the diagram below, $overline{de}$ is parallel to $overline{xy}$. what is the value of $x$?
a. 110
b. 70
c. 120
d. 90

Explanation:

Step1: Identify angle - type relationship

When two parallel lines are cut by a transversal, corresponding angles are equal. The $110^{\circ}$ angle and the angle with measure $x$ are corresponding angles.

Step2: Determine the value of $x$

Since corresponding angles are equal when lines are parallel, $x = 110$.

Answer:

A. 110