Triangle $PXY$ is always an equilateral triangle.

The measure of $\angle XPY$ is always less than $90^{\circ }$.

The sum of the measures of $\angle PXY$ and $\angle PYX$ is always $180^{\circ }$ minus the measure of $\angle XPY$.

The side $\overline{XY}$ is always longer than $\overline{PX}$.