Final answer:
The measure of angle DOE in a circle, formed by two radii, is equivalent to the central angle. Therefore, if BOF = 105°, then DOE will also be 105°.
Step-by-step explanation:
To find the measure of angle DOE, it's important to remember that in a circle, the measure of an angle formed by two radii (like DOF and BOF in this case), is equal to the measure of the central angle (BOF).
Since we are given that BOF = 105°, the measure of angle DOE will also be 105° because the lines DOF and BOF are the radii of the same section of the circle.
Therefore, DOE = 105°.
Learn more about Angles in a Circle