In the image below, ray EF bisects angle DEG. Show work to find the angle DEF.

since the ray EF is an angle bisector, DEF and FEG are equal.

this means that 5x-3 = 2x+15.

solving this equation, we get 3x = 18, and x = 6.

so DEF would be 5(6) - 3 = 27.

hope this helped!