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{{ printedBook.courseTrack.name }} {{ printedBook.name }} We should find the measure of $α$ and we know that one angle is $114_{∘}.$

These angles are formed by the parallel lines and a transversal. They lie on opposite sides of the transversal and on different sides of the parallel lines. According to the definition, these are alternate exterior angles. To find the measure of $α,$ we can use Alternate Exterior Angles Theorem. $If two parallel lines are cut by a transversal,then each pair of alternate exterior anglesis congruent. $ With the theorem, we conclude that $α$ and $114_{∘}$ are congruent and their measures are the same. Therefore, the measure of $α$ is also $114_{∘}.$