the sum of the interior angles, s, in an n - sided polygon can be determined using the formula s = 180(n…

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. using this formula, how many sides does a polygon have if the sum of the interior angles is 1,260°? round to the nearest whole number. 6 sides 7 sides 8 sides 9 sides

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. using this formula, how many sides does a polygon have if the sum of the interior angles is 1,260°? round to the nearest whole number. 6 sides 7 sides 8 sides 9 sides

Answer

Answer:

D. 9 sides

Explanation:

Step1: Substitute given values into formula.

$1260 = 180(n - 2)$

Step2: Divide both sides by 180.

$\frac{1260}{180}=n - 2$ $7=n - 2$

Step3: Solve for n.

$n=7 + 2$ $n = 9$