# Interior Angles of a Polygon

- Author:
- Diana Ayala

- Topic:
- Angles

What is the sum of the triangle ?

Move the points of triangle however you wish (Note: the shape needs to be a triangle and the interior angles need to stay interior angles). What is the sum of your new triangle?

What is the sum of quadrilateral

Move the points of the quadrilateral however you wish (Note: the shape needs to be a quadrilateral and the interior angles need to stay interior angles). What is the sum of your new quadrilateral?

Using the image above and your previous knowledge, how many triangles do you think fit in a quadrilateral?

What is the sum of the pentagon ?

Move the points of pentagon however you wish (Note: the shape needs to be a pentagon and the interior angles need to stay interior angles). What is the sum of your new pentagon?

Using the image above and your previous knowledge, how many triangles do you think fit in a pentagon?

Pattern: Every time you add a side to a polygon, by how many degrees does the sum of the polygon increase?

Using what you learned in the previous question, what would be the sum of this hexagon?

Write an equation: Let n be the number of sides. Which equation satisfies the the sum of interior angles of any polygon?