If two lines are parallel and the transversal creates a pair of alternate exteri

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Question: If two lines are parallel and the transversal creates a pair of alternate exterior angles, what can be concluded about those angles?

Options:

Correct Answer: They are equal.

Solution:

By the Alternate Exterior Angles Theorem, if two parallel lines are cut by a transversal, the alternate exterior angles are equal.

If two lines are parallel and the transversal creates a pair of alternate exterior angles, what can be concluded about those angles?

If two lines are parallel and the transversal creates a pair of alternate exterior angles, what can be concluded about those angles?

Step 1: Identify the two parallel lines. Let's call them Line A and Line B.
Step 2: Identify the transversal line that crosses both Line A and Line B. Let's call it Line C.
Step 3: Locate the alternate exterior angles formed by the intersection of Line C with Line A and Line B.
Step 4: Recognize that alternate exterior angles are the angles that are on opposite sides of the transversal (Line C) and outside the two parallel lines (Line A and Line B).
Step 5: Apply the Alternate Exterior Angles Theorem, which states that if two parallel lines are cut by a transversal, then the alternate exterior angles are equal.
Step 6: Conclude that the alternate exterior angles you identified are equal in measure.

Alternate Exterior Angles Theorem – This theorem states that when two parallel lines are intersected by a transversal, the pairs of alternate exterior angles are equal.