Mathematics

Question

The sum of the measures of the interior angles of a regular polygon is 900 degrees. How many sides does the polygon have?

2 Answer

  • s(n)=180(n-2)

    180n-360=900

    180n=1260

    n=7

    So this is a heptagon with 7 sides...
  • The polygon has 7 sides

    The sum of interior angles of a polygon is calculated as:

    Sum =180 *  (n-2)

    In this question, the sum of the measures of the interior angles of a regular polygon is 900

    So, we have:

    180 *(n - 2) = 900

    Divide both sides by 180

    n - 2 = 5

    Add 2 to both sides

    n = 7

    Hence, the polygon has 7 sides

    Read more about interior angles of a regular polygon at:

    https://brainly.com/question/26130142

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