Question

Solve for n. (remember 2 steps)

The formula for the sum of the degree measures of the interior angles of a polygon
5 = 180(n - 2). Solve for n, the number of sides of the polygon, in terms of S.

Answer 1

2 + (S ÷ 180)

Explanation:

S is the sum of the measure of the interior angle measures for a polygon, while n is the number of sides.

We are given the equation S = 180(n - 2). In order to solve for n in terms of S, we must isolate the n on one side.

S = 180(n - 2) ⇒ divide both sides by 180

S ÷ 180 = n - 2 ⇒ add 2 to both sides

2 + (S ÷ 180) = n

Therefore, n = 2 + (S ÷ 180)