Respuesta :

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]

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