He 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°?

Question

Sophie

Mathematics

6 April, 23:51

He 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°?

+1

Answers (1)

Know the Answer?

Lauren Forbes · Answer 1

9

Step-by-step explanation:

Equation

Sum = s = 180 * (n - 2)

Solution

1260 = 180 * (n - 2) Divide by 180

1260 / 180 = 180 * (n - 2) / 180

7 = n - 2 Add 2 to both sides

9 = n

Answer

The polygon has 9 sides.