Parallel Lines and Transversal Angles

Given $m \parallel n$, find the value of $x$.

[Diagram showing two parallel lines $m$ and $n$ intersected by a transversal $t$. An angle labeled $x^{\circ}$ is formed at the intersection of $t$ and $m$, and an angle of $34^{\circ}$ is formed at the intersection of $t$ and $n$, such that they are alternate interior angles.]

This question includes visual content: The image shows two horizontal parallel lines, labeled m and n. A diagonal transversal line t intersects both lines. At the intersection of line t and line m, an angle labeled x degrees is marked. At the intersection of line t and line n, an angle of 34 degrees is marked. These two angles are alternate interior angles.