ANSWER
[tex](n - 2) \times 180 \degree[/tex]
EXPLANATION
The sum of the interior angles of a triangle is 180°
We can rewrite this as:
[tex]1 \times 180 \degree = (3 - 2) \times 180 \degree = 180 \degree[/tex]
The sum of interior angles of a quadrilateral is 360°
We can also rewrite this as:
[tex]2 \times 180 \degree = (4- 2) \times 180 \degree = 360 \degree[/tex]In general an n-sided polygon has
the sum of the interior angles given by the formula:
[tex](n - 2) \times 180[/tex]