In the figure, lines $p$ and $q$ are parallel, and line $t$ is a transversal. An angle formed by line $p$ and line $t$ measures $x^{\circ }$. The angle adjacent to $x^{\circ }$ on the same straight line measures $y^{\circ }$. If $y^{\circ }$ is an alternate interior angle to an angle measuring $(2x-30{)}^{\circ }$ formed by line $q$ and line $t$, what is the value of $x$?

(Note: The figure shows two parallel lines $p$ and $q$ intersected by a transversal $t$. On line $p$, two angles, $x^{\circ }$ and $y^{\circ }$, form a linear pair. The angle $y^{\circ }$ is an interior angle. On line $q$, an interior angle on the opposite side of the transversal from $y^{\circ }$ is labeled $(2x-30{)}^{\circ }$.)