In the figure, lines $p$ and $q$ are parallel. A transversal intersects lines $p$ and $q$. Another line segment is drawn from line $p$ perpendicular to line $p$, extending to intersect the transversal. This forms a right triangle. The acute angle of this triangle at line $p$ is $(2x+10{)}^{\circ }$. The acute angle of this triangle at the intersection of the transversal and the perpendicular line is $(x+20{)}^{\circ }$. What is the value of $x$?