Question

in the diagram below, (overline{de}) is parallel to (overline{xy}). what is the value of (y)?
a. 75
b. 125
c. 105
d. 85

Explanation:

Step1: Recall angle - parallel line property

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

Step2: Identify corresponding angles

The 105 - degree angle and the angle with measure \(y^{\circ}\) are corresponding angles.

Answer:

C. 105