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: Use the property of corresponding angles

Since the two lines are parallel, the angle of \(72^{\circ}\) and \(\angle1\) are corresponding angles.

Step2: Calculate the measure of \(\angle1\)

By the Corresponding Angles Theorem, \(m\angle1 = 72\).

Answer:

72