In the trapezoid below, if < BAC = x - 2 degrees and the measure of < DCA is 4x - 3 degrees, find x.

Assuming an isosceles trapezoid
the sum of the inner angles of a trapezoid is 360°
then
[tex]360=2(BAC)+2(DCA)[/tex][tex]360=2(BAC+DCA)[/tex][tex]180=(BAC+DCA)[/tex][tex]180=(x-2)+(4x-3)[/tex][tex]180=5x-5[/tex][tex]180+5=5x[/tex][tex]185=5x[/tex][tex]\frac{185}{5}=x[/tex][tex]x=37[/tex]x=37
correct answer
Option D