In a geometric configuration, we have two parallel lines, line $l_1$ and line $l_2$, and a transversal line $t$ that intersects these two parallel lines. The angle between the transversal and line $l_1$ is $45^{ ext{°}}$. What is the measure of the angle between the transversal $t$ and line $l_2$ formed on the same side of the transversal?