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  • 12-10-2018
  • Mathematics
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Could someone with number 2 a

Could someone with number 2 a class=

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  • 12-10-2018

The sum of the interior angles of a polygon with [tex]n[/tex] sides is

[tex]180(n-2)[/tex]

Since a pentagon has 5 sides, the sum of its interior angles is

[tex] 180(5-2) = 180 \cdot 3 = 540 [/tex]

Since it is a regular pentagon, all sides and angles are the same, so one single angle measures

[tex] \dfrac{540}{5} = 108 [/tex] degrees.

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