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Mathematics 12 Online
OpenStudy (anonymous):

what is the sum of the measures of the exterior angle for a 52-gon

ganeshie8 (ganeshie8):

its always 360 for any polygon

OpenStudy (anonymous):

same for interior?

ganeshie8 (ganeshie8):

nope, sum of interior angles changes

OpenStudy (anonymous):

to 720?

OpenStudy (anonymous):

or 180?

ganeshie8 (ganeshie8):

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ganeshie8 (ganeshie8):

Take hexagon, for example. Since it has 6 sides, and since sum of exterior angles is 360, one exterior angle = 360/6 = 60

ganeshie8 (ganeshie8):

you can find 'sum of interior angles' using that 'exterior angle', can u ?

OpenStudy (anonymous):

so it would be 360/4?

ganeshie8 (ganeshie8):

nope

ganeshie8 (ganeshie8):

you can use the direct formula :- for polygon wid \(n\) sides, sum of interior angles = \(180(n-2)\)

ganeshie8 (ganeshie8):

for \(52\)-gon, sum of interior angles = \(180(52-2)\)

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