Alternate Exterior Angles Theorem Explained

Okay, I will analyze the question and provide a detailed explanation.

Question 4

The task is to find the measure of angle 2 and justify the reasoning.

From the image, we can see that angle 2 and the angle measuring 108° are alternate exterior angles. According to the Alternate Exterior Angles Theorem, if two parallel lines are cut by a transversal, then the alternate exterior angles are congruent (equal).

Therefore, the measure of angle 2 is 108°.

The correct answer is:

A. $m\angle 2$ is $108^\circ$ by the Alternate Exterior Angles Theorem.

1 Explain Alternate Exterior Angles Theorem 1 Other angle relationships