Question

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?

Answer 1

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

`180(n-2)`

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

`180(5-2)=180(3)=540`

Therefore, the sum of its interior angles is:

`540^(\circ)`