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$PQR$ is an equilateral triangle. $X$ and $Y$ are points on $PQ$ and $PR$, respectively, such that $PY=QX$ and $3XQ=PQ$. Lines $RX$ and $QY$ intersect at $Z$. Determine the value of $\angle {PZQ}$.
Geometry
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$PQR$ is an equilateral triangle. $X$ and $Y$ are points on $PQ$ and $PR$, respectively, such that $PY=QX$ and $3XQ=PQ$. Lines $RX$ and $QY$ intersect at $Z$. Determine the value of $\angle {PZQ}$.
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