# Sum of the interior angles of a polygon

Investigate the relationship between the number of sides a polygon has and the sum of its interior angles.

## Sum of the interior angles for quadrilaterals

1. What is the sum of the interior angles for quadrilaterals?

## Sum of the interior angles for pentagons.

2. What is the sum of the interior angles for any pentagon?

## Sum of the interior angles for an n-gon.

3. What is the algebraic expression that represents the sum of the interior angles of a polygon that has * n* sides?

4. What is the sum of the interior angles of a dodecagon?