Question

The sum of the measures of the interior angles of a polygon with n sides is

Answer 1

`(n - 2) * 180 \degree`

Step-by-step explanation

The sum of the interior angles of a triangle is 180°

We can rewrite this as:

`1 * 180 \degree = (3 - 2) * 180 \degree = 180 \degree`

The sum of interior angles of a quadrilateral is 360°

We can also rewrite this as:

`2 * 180 \degree = (4- 2) * 180 \degree = 360 \degree`In general an n-sided polygon has

the sum of the interior angles given by the formula:

`(n - 2) * 180`