Question

find the measure of the indicated angle that makes u and v parallel 100° converse of the alternate interior angles theorem ( converse ai ∠s thm.) 80 90

Explanation:

Step1: Recall angle - parallel line relationship

When two lines are parallel, alternate - interior angles are congruent. The given angle of \(80^{\circ}\) and the indicated angle are alternate - interior angles.

Step2: Determine the angle measure

Since alternate - interior angles are equal when the lines are parallel, the measure of the indicated angle is \(80^{\circ}\).

Answer:

\(80^{\circ}\)