Question

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

Explanation:

Step1: Recall same - side exterior angles theorem

The same - side exterior angles theorem states that when two parallel lines are cut by a transversal, same - side exterior angles are supplementary (their sum is 180°), not equal.

Step2: Identify the correct relationship

The angle of 72° and ∠1 are same - side exterior angles. So, \(m\angle1=180 - 72\).

Step3: Calculate the measure of ∠1

\(m\angle1 = 108\).

Answer:

Tyler misapplied the same - side exterior angles theorem. The same - side exterior angles are supplementary, not equal. The measure of \(\angle1\) is 108.