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the pentagon building Washington, D.C.,is named because it is in the shape of a regular pentagon. what is the sum of the measure, in degree, of its interior angles?

Respuesta :

The sum of the internal angles of a polygon with n sides is given by the formula:

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

For a pentagon, the number of sides is 5. Substitute n=5 into the formula to find the sum of its internal angles:

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

Therefore, the sum of its interior angles is:

[tex]540^{\circ}[/tex]

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