sam cut a pie into equal slices. there are only 3 slices left. the angle measure for the three slices is 72 degrees. how many slices did sam cut the pie into?
since 72° is 1/5 of 360°, 3 slices is 1/5 of the pie.
That help?
The real question is, how the heck do you cut a pie into an odd number of equal slices?
3 times 72
15
To determine the number of slices that Sam cut the pie into, we can use the fact that the sum of the angles in a circle is 360 degrees.
If we have three slices left and each slice has an angle measure of 72 degrees, then the total angle of these three slices is 3 * 72 = 216 degrees.
Since the total angle of a circle is 360 degrees, we can set up the equation: 216 + x = 360, where x represents the total angle of the slices that Sam cut.
To solve for x, we isolate it by subtracting 216 from both sides of the equation: x = 360 - 216 = 144 degrees.
Since each slice has an equal angle measure, we can divide the total angle by the angle measure of each slice: 144 / 72 = 2.
Therefore, Sam cut the pie into 2 slices before only having 3 slices left.