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

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.) video textbook get more help.

Explanation:

Step1: Recall angle - relationship property

Same - side exterior angles are supplementary when two parallel lines are cut by a transversal. That is, if two angles are same - side exterior angles, their sum is 180 degrees.

Step2: Calculate the measure of angle 1

Let the given angle be 72 degrees. If the two angles (the given 72 - degree angle and ∠1) are same - side exterior angles, then 72+∠1 = 180. Solving for ∠1 gives ∠1=180 - 72.
180−72 = 108

Answer:

108