QUESTION IMAGE
Question
are the following lines parallel? there is not enough information to determine or not congruent yes - alternate interior angles are congruent yes - alternate exterior angles are congruent yes - corresponding angles are congruent yes - consecutive interior angles are supplementary
Step1: Recall angle - line relationship
If alternate exterior angles are congruent, then the lines are parallel.
Step2: Identify angle type
The given \(120^{\circ}\) angles are alternate exterior angles.
Step3: Apply the theorem
Since the alternate exterior angles (\(120^{\circ}\) each) are congruent, by the Alternate Exterior Angles Theorem, the lines are parallel.
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Yes- Alternate Exterior Angles are Congruent