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Mathematics 8 Online
OpenStudy (anonymous):

help please

OpenStudy (anonymous):

OpenStudy (xapproachesinfinity):

each angle is an octagon s 135 and each angle with an exterior angle add up to 180

OpenStudy (xapproachesinfinity):

135+x=180

OpenStudy (anonymous):

45 ?

OpenStudy (xapproachesinfinity):

yes!

OpenStudy (anonymous):

thanks

OpenStudy (xapproachesinfinity):

np

OpenStudy (xapproachesinfinity):

any regular poly has angles (n-2)180

OpenStudy (xapproachesinfinity):

equal angles that is

OpenStudy (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.

OpenStudy (anonymous):

hope that helped as well :)

OpenStudy (anonymous):

it did thanks both of you

OpenStudy (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

OpenStudy (xapproachesinfinity):

|dw:1435985478747:dw| take any polygon

OpenStudy (xapproachesinfinity):

|dw:1435985510123:dw|

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