Final Answer:
The measure of angle F in parallelogram DEFG is 96°, thus the correct option is c.
Explanation:
Parallelograms are quadrilaterals which have two pairs of parallel sides. The opposite angles in a parallelogram are equal, and the sum of the angles of a parallelogram is 360°.
As angle E measures 84°, the measure of angle F must be the remaining angle which is 96°. This can be proved mathematically by using the formula for angles in a parallelogram which states that the sum of the opposite angles in a parallelogram is equal to 180°. Therefore, if angle E is 84°, then the measure of angle F must be (180 - 84°) = 96°.
Therefore, the measure of angle F in parallelogram DEFG is 96°.