What is the sum of the interior angles of a decagon?

To find the sum of the interior angles of a decagon, which is a polygon with ten sides, we can use the formula for the sum of the interior angles of a polygon, given by:

[

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

]

where ( n ) is the number of sides.

For a decagon, ( n = 10 ). Plugging this into the formula gives:

[

\text{Sum of interior angles} = (10 - 2) \times 180 = 8 \times 180 = 1440 \text{ degrees}

]

However, it seems that the exact answer was selected incorrectly. The correct calculation leads to 1440 degrees, suggesting either a miscalculation or a misunderstanding in the options presented.

To clarify further, using the derived polynomial rules governing polygons can always help in recapping their interior angles. The fundamental reasoning lies in recognizing that for any polygon, the relationship between the number of sides and the total angles can be seen geometrically by segmenting it into triangles, each contributing 180 degrees to the sum as we deduct from the straight line shape formed by the polygon's vertices.

Thus