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11 August, 11:05

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)
  1. 11 August, 14:15
    0
    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.
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