Olympiad Geometry · Medium problem

Triangle $JKL$ is congruent to triangle $MNO$, with correspondence $J \leftrightarrow M$, $K \leftrightarrow N$, $L \leftrightarrow O$. The perimeter of $\triangle JKL$ is $54$. If $JK = 16$ and $KL = 19$, find $MO$.