How many sides of a polygon have if the sum of the measures of its angle is 2880?

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03-11-2017
Mathematics

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How many sides of a polygon have if the sum of the measures of its angle is 2880?

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kritter1 kritter1 · Answer 1 · 2017-11-03T12:57:35+01:00

kritter1 kritter1

03-11-2017

Using the sum of interior angles formula;

(n-2)×180=sum
(n-2)×180=2880
n-2=2880/180
n-2=16
n=16+2
n=18

Therefore, this polygon would have 18 sides.

Hope I helped :)

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