The angle $x^{\circ }$ and the angle vertically opposite to $x^{\circ }$ are congruent.

The angle $x^{\circ }$ and the angle corresponding to $x^{\circ }$ are congruent.

The angle $x^{\circ }$ and the angle alternate interior to $y^{\circ }$ are supplementary.

The angle $x^{\circ }$ and the angle that forms a linear pair with $y^{\circ }$ are congruent.