Question

what error did tyler make? m∠1 = 72 by same - side exterior angles theorem x while there is no same - side exterior angles theorem given, same - side exterior angles are supplementary, not congruent. m∠1 = (do not include the degree symbol in your answer.)

Explanation:

Step1: Recall angle - relationship property

Same - side exterior angles are supplementary. That is, if two angles are same - side exterior angles, the sum of their measures is 180°.

Step2: Calculate the measure of ∠1

Let the given angle be 72°. Let \(m\angle1=x\). Since the two angles are same - side exterior angles, \(72 + x=180\). Solving for \(x\), we get \(x = 180 - 72\).

Answer:

108