Answer
58 degrees
Work Step by Step
Since all triangles have a sum of 180 degrees for their angles, angle ACB is equal to:
$$ = 180-64-82 \\ = 34$$
Applying the same rule to triangle EBC, the measure of angle CEB is:
$$ = 180 - \frac{82}{2} -34 \\ 180-41-34 \\ =105$$
Applying the same logic to triangle EDC, the measure of angle EDC is:
$$ = 180-105-\frac{34}{2} \\ =58$$
