Ok.... The degrees of a triangle is always equal to 180 degrees.
The measure of angle D is equal to the measure of angle E. let the variable x = the angle of D. Because the measure of angle E is equal to the measure of angle D, let x also represent the measure of angle E.
180=116+x+x
180=116+2x
64=2x
32=x
ANSWER 32° (don't forget units)