Question

The sum of the interior angles, s, in an n-sided polygon can be determined using the formula s = 180(n – 2), where n is the number of sides. benita solves this equation for n and writes the equivalent equation n = 2. using this formula, how many sides does a polygon have if the sum of the interior angles is 1,260°?

Answer 1

If the sum of the polygon is 1,260, then
180(n - 2) = 1,260
n - 2 = 1,260/180 = 7
n = 7 + 2 = 9

The polygon has 9 sides.