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3 September, 18:16

The sum of the measures of the interior angles of a convex polygon is 3060º. How many sides does the polygon have?

A. 17

B. 15

C. 19

D. 18

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Answers (2)
  1. 3 September, 20:12
    0
    The formula for the sum of the measures of a polygon's interior angles is 180 (n-2), where n is the number of sides.

    3060 = 180 (n-2)

    17=n-2

    19=n

    Therefore, the polygon has C. 19 sides.
  2. 3 September, 22:09
    0
    Use the formula:

    (sum of interior angles / 180) - 2 = # of sides

    (3060 / 180) + 2 = 19
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