Alternate Exterior Angles Are Always Congruent at Exterior

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Alternate Exterior Angles Are Always Congruent. For example, 120° and 60° are supplementary, because they add up to 180°. In the drawing below, angles 1 and 8 are alternate exterior angles, as are angles 2 and 7.

Alternate exterior anglesDefinition & Examples Cuemath
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Which angles are never congruent? Therefore, ∠3 = ∠ 5 and ∠4 = ∠6. For example, if you were to look at a picture of a house with two alternate interior angles, you would see that the front and back of the house appear to be facing in different directions.

Alternate exterior anglesDefinition & Examples Cuemath

The alternate exterior angles theorem states that if a pair of parallel lines are cut by a transversal, then the alternate exterior angles are congruent. If two parallel lines are cut by a transversal, then the alternate angles are equal. Notice that 120° and 60° are not equal, so these two angles are not congruent, but they are supplementary. Which angles are never congruent?