SOLUTION
From the question given the following statements to prove are correct, then the last part
The reason is Side-side-side triangle theorem
This theorem states that all three sides of a triangle are congruent (identical) to the corresponding sides of another triangle, then the triangles themselves are also congruent.
Hence the answer is Side-side-side triangle theorem
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 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