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  • 05-10-2019
  • Mathematics
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What will be the measure of exterior angle of regular pentagon give reason of you answer

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  • 05-10-2019

Answer and Step-by-step explanation:

[tex]We~know~that~a~pentagon~has~5~sides. So, to~find~[/tex] [tex]each~exterior~angle~of~a~regular~pentagon,we'll~have~to~use~the~formula[/tex] [tex]which~is:[/tex]

[tex]\frac{350}{number~of~sides}[/tex]

[tex]Now,~that~we~know~to~use~the~formula~let's~answer~your~question.[/tex]

[tex]\frac{360}{5}= 72[/tex]

[tex]Now,72~is~the~angle~for~each~exterior~angle.~To~check~whether~it's[/tex] [tex]correct~multiply~72~by~5~you'll~get~it~as~360.~So~it's~the~correct~answer![/tex]

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