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A pair of parallel lines is cut by a transversal, as shown below.

A pair of parallel lines is cut by a transversal, as shown below.-example-1
User SteveD
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A (x=y)

By vertical angles, the angle opposite y is equal to y, and x = y because it would transform isometrically onto x (as can be seen by the parallel lines because the transversal can be treated as parallel to itself)

User Sarah Weinberger
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