Question

sam cut a pie into equal slices.There are only three slices left.The angle measure for the three slices is 72 degrees.how many slices did sam cut the pie into?

Answer 1

Answer:

Sam sliced the pie into 15 equal slices

Step-by-step explanation:

Given : Sam cut a pie into equal slices.There are only three slices left.The angle measure for the three slices is 72 degrees.

We have to determine the number of slices that the Sam cuts.

Sam cuts a pie and pie is in shape of circle therefore total angle measure is 360°.

Since, Given the angle measure for the three slices is 72 degrees.

So, The angle measure for the one slices is $\frac{72}{3}=24$ degrees.

Since, Pie is cut into equal slices.

So, measure of each slice must be equal.

So let he cut x slices of pie of 24°

So , total measure of x slices must be equal to 360°

24 · x = 360

x = 15

Thus, Sam sliced the pie into 15 equal slices

Answer 2

Sam cut the pie into 15 slices. since the three leftover slices added up to be 72°, you take 72°/3=24° and 24° is only one slice. Then take 360°/24°=15 slices