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

hard

Note: Figure not drawn to scale.

In the figure shown, $d$, $e$, and $f$ are constants and the value of $k$ is $2$. If the measures of angles $D$, $E$, and $F$ are $42^{\circ }$, $x^{\circ }$, and $(2x+12{)}^{\circ }$, respectively, what is the measure, in degrees, of angle $S$?

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