Question

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

Answer 1

ANSWER

$(n - 2) \times 180 \degree$

EXPLANATION

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

We can rewrite this as:

$1 \times 180 \degree = (3 - 2) \times 180 \degree = 180 \degree$

The sum of interior angles of a quadrilateral is 360°

We can also rewrite this as:

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

the sum of the interior angles given by the formula:

$(n - 2) \times 180$