Question

what error did tyler make? m∠1 = 72 by same - side exterior angles theorem x m∠1 =

Explanation:

Step1: Recall angle - relationship rules

The same - side exterior angles theorem states that when two parallel lines are cut by a transversal, same - side exterior angles are supplementary (add up to 180°). The correct theorem to use here for the given angles is the corresponding angles theorem if the lines are parallel.

Step2: Determine the correct measure of ∠1

If the lines are parallel, ∠1 and the 72° angle are corresponding angles. Corresponding angles are congruent when lines are parallel. So \(m\angle1 = 72^{\circ}\). Tyler's error was mis - applying the same - side exterior angles theorem instead of the corresponding angles theorem.

Answer:

72