Question

find the measure of the indicated angle that makes lines u and v parallel.

a. 117°
b. 91°
c. 102°
d. 53°

Explanation:

Step1: Recall the property of alternate interior angles

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

Step2: Apply the property to the given problem

Here, lines \(u\) and \(v\) are to be parallel. The given angle \(117^{\circ}\) and the unknown angle are alternate interior angles. So, the unknown angle must be equal to \(117^{\circ}\) for lines \(u\) and \(v\) to be parallel.

Answer:

A. \(117^{\circ}\)