Question

What is the sum of the measures of the interior angle of a 25-gon?

Answer 1

The sum of the measures of the interior angles of a polygon is given by the formula:

`\text{ Sum of interior angles=(n-2)x180}\degree`

Where n is the number of sides of the polygon, in this case the 25-gon has 25 sides, then the sum of its interior angles is:

`\begin{gathered} \text{ Sum of interior angles=(25-2)x180}\degree \\ \text{ Sum of interior angles=(23)x180}\degree \\ \text{ Sum of interior angles=}4140\degree \end{gathered}`