What is the sum of the interior angles of the polygon shown below? 6 sides

1 answer

To find the sum of the interior angles of a polygon, you can use the formula:

\[ \text{Sum of interior angles} = (n - 2) \times 180^\circ \]

where \( n \) is the number of sides of the polygon.

For a polygon with 6 sides (a hexagon), you can substitute \( n = 6 \) into the formula:

\[ \text{Sum of interior angles} = (6 - 2) \times 180^\circ = 4 \times 180^\circ = 720^\circ \]

Thus, the sum of the interior angles of a hexagon is \( 720^\circ \).