Sum of interior angle of polygon

• Mathematics
• Secondary Education

POLYGON

Challenge

Find the Pattern and Rule

> Look at the number of sides, number of triangles and the sum of interior angles

>Try to find a pattern.

>Your challenge is to find a rule to calculate the sum of the interior angles of an n-sided shape. (Hint: Try using triangles to divide the polygon)

What is the sum of interior angles of a polygon with n number of sides?

www.geogebra.org

What happen to the sum of interior angles if the number of sides increases by one?

AFL
Find the sum of interior angles of a polygon with 22 sides.

1. 2000
2. 450
3. 2300
4. 3600

The sum of interior angles of a polygon with n number of sides?

1. (n-2)x180º
2. 180º
3. n X 180
4. 360

Mind-Stretcher: Is it possible to have a polygon with sum of its interior angle is
2000º? Give reason.

The value of x is equal to...