Answer:
If the measure of angle DEF in circle E is 66 degrees, then the measure of minor arc DF can be found by using the fact that the measure of an inscribed angle is equal to half the measure of the intercepted arc.
In this case, since angle DEF is 66 degrees, the measure of minor arc DF would be twice that, or 2 * 66 = 132 degrees.
Therefore, the measure of minor arc DF is 132 degrees.
