In a geometric configuration, two parallel lines, line $m$ and line $n$, are cut by a transversal line $t$. The angles formed at the intersections consist of angles $1$, $2$, $3$, and $4$. If angle $1$ measures $x$ degrees and angle $3$ measures $(2x + 10)$ degrees, what is the value of $x$ if angle $1$ and angle $3$ are supposed to be equal by the properties of parallel lines?
Recall that when a transversal intersects parallel lines, corresponding angles are equal.