Final answer:
The measure of minor arc DF in circle E is 33°.
Step-by-step explanation:
In geometry, a circle is a two-dimensional shape consisting of all points in a plane that are equidistant from a fixed point called the center. The distance from the center to any point on the circle is called the radius. The longest chord of a circle, which passes through the center, is called the diameter.
To find the measure of minor arc DF in circle E, we need to use the information that the measure of angle DGF is 33°.
In a circle, the measure of an arc is equal to the measure of its corresponding central angle. So, the measure of arc DF is also 33°.