In the figure shown, lines $k$, $l$, and $m$ intersect to form a triangle. One interior angle of the triangle measures $35^{\circ }$. The exterior angle adjacent to another interior angle measures $110^{\circ }$. What is the measure of the interior angle, $y^{\circ }$, that is nonadjacent to the $35^{\circ }$ angle and the $110^{\circ }$ exterior angle?