anonymous
  • anonymous
help please
Mathematics
  • Stacey Warren - Expert brainly.com
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schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
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xapproachesinfinity
  • xapproachesinfinity
each angle is an octagon s 135 and each angle with an exterior angle add up to 180
xapproachesinfinity
  • xapproachesinfinity
135+x=180

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anonymous
  • anonymous
45 ?
xapproachesinfinity
  • xapproachesinfinity
yes!
anonymous
  • anonymous
thanks
xapproachesinfinity
  • xapproachesinfinity
np
xapproachesinfinity
  • xapproachesinfinity
any regular poly has angles (n-2)180
xapproachesinfinity
  • xapproachesinfinity
equal angles that is
anonymous
  • anonymous
A rule of polygons is that the sum of the exterior angles always equals 360 degrees, but lets prove this for a regular octagon (8-sides). First we must figure out what each of the interior angles equal. To do this we use the formula: ((n-2)*180)/n where n is the number of sides of the polygon. In our case n=8 for an octagon, so we get: ((8-2)*180)/8 => (6*180)/8 => 1080/8 = 135 degrees. This means that each interior angle of the regular octagon is equal to 135 degrees. Each exterior angle is the supplementary angle to the interior angle at the vertex of the polygon, so in this case each exterior angle is equal to 45 degrees. (180 - 135 = 45). Remember that supplementary angles add up to 180 degrees.
anonymous
  • anonymous
hope that helped as well :)
anonymous
  • anonymous
it did thanks both of you
xapproachesinfinity
  • xapproachesinfinity
you don't need to know all stuff all you need to know is that exterior angle and interior sum to 180 since they are supplementary
xapproachesinfinity
  • xapproachesinfinity
|dw:1435985478747:dw| take any polygon
xapproachesinfinity
  • xapproachesinfinity
|dw:1435985510123:dw|
xapproachesinfinity
  • xapproachesinfinity
|dw:1435985527836:dw|
xapproachesinfinity
  • xapproachesinfinity
|dw:1435985560233:dw| always applies

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