Question

6
in the diagram below, $overline{de}$ is parallel to $overline{xy}$. what is the value of $x$?
a. 105
b. 115
c. 65
d. 85

Explanation:

Step1: Recall parallel - line property

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

Step2: Identify corresponding angles

The 115 - degree angle and the angle labeled \(x\) are corresponding angles.

Step3: Determine the value of \(x\)

Since corresponding angles are equal when \(DE\parallel XY\), \(x = 115\).

Answer:

B. 115