Question

Using the formula s=180(n−2)s=180(n−2), where nn is the number of sides, how many sides does a polygon have if the sum of the interior angles is 1,260°?

A) 6 sides

B) 7 sides

C) 8 sides

D) 9 sides

Answer 1

To find the number of sides for a polygon with a sum of interior angles of 1,260°, we use the formula s = 180(n - 2) and solve for n, resulting in 9 sides for the polygon.

Step-by-step explanation:

The question refers to a mathematical formula used to calculate the sum of interior angles of a polygon. According to the formula s = 180(n - 2), where s is the sum of the interior angles and n is the number of sides, we can solve for n if the sum is given. In this case, we want to find out the number of sides a polygon has if the sum of its interior angles is 1,260°. The equation would look like 1,260 = 180(n - 2). Simplifying, we divide both sides by 180 to get 7 = n - 2, and adding 2 to both sides gives us n = 9. Therefore, the polygon has 9 sides.