jaystarr2677 jaystarr2677
  • 16-03-2018
  • Mathematics
contestada

How to solve for n if the interior angle of the regular n-gon has a measure of 177.6?

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jcherry99
jcherry99 jcherry99
  • 19-03-2018
The answer is found by finding one of the exterior angles.
The interior angle + the exterior angle = 180o (They are supplementary.)
x + 177.6 = 180
x = 180 - 177.6
x = 2.4 degrees.

In a regular polygon, all of the exterior angles add up to 360 degrees.
n * 2.4 = 360
n = 360 / 2.4
n = 150 sides <<<<answer
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