Alternate Angles in Parallel Lines: Identifying X and Y Relationships

To determine if angles $X$ and $Y$ are alternate angles, let's analyze the configuration:

Step 1: Identify the Transversal:
The line labeled in orange cuts across the two parallel lines $AB$ and $CD$. This line acts as a transversal.

Step 2: Locate Angles $X$ and $Y$:
Angle $X$ is situated between lines $AB$ and the transversal. Angle $Y$ is between $CD$ and the transversal, but not in symmetric opposite with respect to the transversal line.

Step 3: Analyze Relative Positioning:
For $X$ and $Y$ to be alternate interior angles, they must lie between the parallel lines and on opposite sides of the transversal. Since both angles $X$ and $Y$ are not on alternate sides of the transversal line, they do not fit the definition of alternate angles.

Conclusion:
Since $X$ and $Y$ do not lie on opposite sides of the transversal and between the parallel lines, they are not alternate interior angles.

Therefore, the statement is False.