Theorem 3-3 Alternate Exterior Angles Theorem
If a transversal intersects two parallel lines, then alternate exterior angles are congruent
The Alternate Exterior Angles Theorem, also known as Theorem 3-3, states that if a transversal intersects two parallel lines, then the pairs of alternate exterior angles are congruent.
In other words, if you have two parallel lines cut by a transversal, such as line m and line n intersected by line t as shown below:
Then you can say that angle 1 and angle 3 are congruent, and angle 2 and angle 4 are congruent.
This theorem is useful in solving problems involving parallel lines and transversals, as it allows you to identify and use congruent angles to find missing angles or solve for unknown variables.
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