Sam cut a pie into equal slices. There are only three slices left. The angle measure for the three slices is 72°. How many slices did Sam cut the pie into?

Sam cut the pie in 15 slices.

Since 3 slices is 72 degrees, that means each slice is 24 degrees.

The amount of slices can be determined by dividing the 360 degrees in a circle by the 24 degrees in a slice of pie, which is 15.

72/3=24°

So each slice was 24°

360/24=15

So originally there were 15 slices ...