Question

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

Step2: Calculate the measure of ∠1

Let the given angle be 72°. Since the angle and ∠1 are same - side exterior angles, if we let the measure of ∠1 be \(x\), then \(x + 72=180\). Solving for \(x\), we get \(x=180 - 72\).
\(x = 108\)

Answer:

108