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 = s/180 + 2.

Using this formula, how many sides does a polygon have if the sum of the interior angles is 1,260°?

_______ sides

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 = s/180 + 2. 

Using this formula, how many sides does a polygon have if the sum of the interior angles is 1,260°?

 _______ sides

anonymous · Answer

plug 1260 for s in the equation and solve for N

use n= s/180+2 = 1260/180 + 2= 7 +2 =9

anonymous · Answer

n=9