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.
Using this formula, how many sides does a polygon have if the sum of the interior angles is 1.260°7 Round to the nearest
whole number
6 sides
7 sides
8 sides
9 sides

Answer 1

9 sides.

Explanation:

1260 = 180(n - 2) Divide both sides by 180:

7 = n - 2

n = 7 + 2 = 9.

Answer 2

9 sides

Explanation:

Given the sum of the interior angles = 1260°, then

180° (n - 2) = 1260 ( divide both sides by 180 )

n - 2 = 7 ( add 2 to both sides ), hence

n = 9