[tex]\text{Hello there! :)}[/tex]
[tex]\huge\boxed{x = 22.5}[/tex][tex]\text{Since we know that DE and AC are parallel,}\\\\\text{We can use the Alternate-exterior angle congruency to determine the value of "x":}\\\\6x = 2x + \text{ The supplement of 4, therefore:}\\\\6x = 2x + 180 - 4x\\\\\text{Isolate the "x" variable by adding 4x and subtracting 2x from both sides:}\\\\8x = 180\\\\\text{Divide both sides by 8:}\\\\\boxed{x = 22.5}[/tex]
