1. We are told that the transversal bisects two parallel lines. 2. If the lines are parallel, then the corresponding angles are congruent. 3. One angle is 90 degrees since it is perpendicular to the transversal. 4. Thus, by (2), this means that its corresponding angle is also 90 degrees. 5. Since the transversal forms a 90 degree angle with the secon parallel line, it is also parallel to this line.
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Answer is above.