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

Question

9
in the diagram below, $overline{de}$ is parallel to $overline{xy}$. what is the value of y?
a. 100
b. 120
c. 80
d. 60

Explanation:

Step1: Recall parallel - line property

When two parallel lines are cut by a transversal, corresponding angles are equal.

Step2: Identify corresponding angles

The angle of 100° and angle \(y\) are corresponding angles formed by parallel lines \(\overline{DE}\) and \(\overline{XY}\) cut by a transversal.
So \(y = 100\).

Answer:

A. 100