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Math·Geometry and Trigonometry·Lines, angles, and triangles

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Trapezoid $CDEF$ is similar to trapezoid $JKLM$, such that $C$, $D$, $E$, and $F$ correspond to $J$, $K$, $L$, and $M$, respectively. The length of each side of trapezoid $JKLM$ is $4$ times the length of its corresponding side in trapezoid $CDEF$. The measure of angle $C$ is $42^{\circ }$. What is the measure of angle $J$?

A

$38^{\circ }$

B

$42^{\circ }$

C

$46^{\circ }$

D

$168^{\circ }$