FineIMadeAnAccount FineIMadeAnAccount
  • 19-09-2017
  • Mathematics
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What is the sum of the measures of the interior angles of an octagon?

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bloo056
bloo056 bloo056
  • 19-09-2017
ANY n-sided polygon has interior angles that sum to 180(n - 2) degrees. For an octagon this is 180 x 6 ie 1080 degrees (so the individual interior angles of a regular octagon are 135 degrees).      

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emcphotographystudio
emcphotographystudio emcphotographystudio
  • 20-08-2020

Answer:

This is the correct answer and here is why

Step-by-step explanation:

An octagon had 8 Sides (The sides of the polygon is N)

You use the formula:

I=(n *number of sides* - 2) = 180*

I=(8-2)180

I=(6)180

6x180= 1080

N=1080

Therefore the Sum of the measures of the Interior angles of an octagon is: 1080

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