In the diagram below, point \(A\) is on line segment \(\overline{CE}\) , and \(\overline{AB}\) bisects \(\angle DAC \) (meaning that \(\overline{AB}\) splits \(\angle DAC \) into two congruent angles). If \(\overline{DA}\parallel\overline{EF}\) and \(\angle AEF = 10 \cdot \angle BAC - 12^\circ\) , then what is \(\angle{DAC}\) in degrees?
https://latex.artofproblemsolving.com/5/4/8/5486064af9dc044cac69cb29a0f9f6771b421be3.png