Question

The sum of the measures of the interior angles is 1,440 degrees. How many sides does the polygon have?



4

6

8

10

Answer 1

If the interior angle measures 1440 you have a serious problem.

If the sum of the interior angles is 1440, then the question can be answered as follows:

The sum of the interior angles of a n-gon is (n-2)*180 degrees

So (n-2)*180 = 1440

So that n-2 = 8 and so n = 10

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