The sum of the interior angles of michael’s polygon equals 180°. the sum of the interior angles of cary’s polygon equals 360°. how many more sides does cary’s polygon have than michael’s polygon?

a. 1 side
b. 2 sides
c. 3 sides
d. 4 sides

Recall that for a polygon to have 180° as the sum of its interior angles, then it must have three sides and thus a triangle. And similarly, for a polygon to have a sum of 360°, it must have four sides or it is a quadrilateral.

[Note that for larger angles, we can apply the formula 180(n - 2) to find the total sum of the interior angles. n is the number of sides]

Now, since we're comparing a four-sided and three-sided polygon, this means that they only differ by 1 side. 

A. 1 side