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Find the sum of the interior angle measuresof each polygon. Write equation and solveshowing ALL the work.16-gon

Find the sum of the interior angle measuresof each polygon. Write equation and solveshowing-example-1
User Gmalette
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1 Answer

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We can find the sum of the interior angles of a polygon with the following formula:


(n-2)\cdot180

where n is the number of sides.

Then, for a 16-gon, we have n=16 and the sum of interior angles is:


(16-2)\cdot180=14\cdot180=2520\degree

Answer: the sum of the interior angles of a 16-gon is 2520 degrees.

User Tatenda
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