Question

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

Answer 1

In a pentagon there are 5 number of sides, n = 5.

The formula for the sum of angle of polygon with n sides is,

`S=(n-2)*180`

Substitute 5 for n in the formula to obtain the sum of angles of pentagon.

`\begin{gathered} S=(5-2)*180 \\ =3*180 \\ =540 \end{gathered}`

So answer is 540 degree.