Alternate Exterior Angles Theorem Explained
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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.
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