Answer :
The alternate exterior angle y values 122. Hence D is the correct option.
Since DE is parallel to X, we know that angles ADE and BDF are alternate interior angles. Therefore, they are equal.
We also know that angles ADE and EDC are supplementary angles, so they add up to 180 degrees. Therefore, angle ADE must be 180 - angle EDC = 180 - 58 = 122 degrees.
Since angles ADE and BDF are equal, we know that angle BDF must also be 122 degrees.
Therefore, the value of y is 122.
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