72°
Option D is correct
Explanation:Sum of angles in a circle = 360°
Carol budgets 20% of her income for food.
This means that Carol will use 20% of the 360° in the circle to show this item
The measure of the central angle she must use to show this item on a circle graph = (20/100) x 360°
The measure of the central angle she must use to show this item on a circle graph = 72°