How many degrees are in the sum of the interior angles of a heptagon?

How many degrees are in the sum of the interior angles of a heptagon?

• A. 720
• B. 900
• C. 1,080
• D. 1,260

Answer: (C)

To determine the sum of the interior angles of a heptagon (a polygon with seven sides), we can use the formula for finding the sum of the interior angles of any polygon, which is given by: \[ \text{Sum of interior angles} = (n - 2) \times 180 \] where \( n \) is the number of sides in the polygon. For a heptagon, \( n = 7 \). Substituting 7 into the formula: \[ \text{Sum of interior angles} = (7 - 2) \times 180 = 5 \times 180 = 900 \] Therefore, the sum of the interior angles of a heptagon is 900 degrees. This means that the choice representing 900 degrees is correct. In this context, the other options represent sums of angles for different polygons and do not align with the calculations for a heptagon. Thus, they are not applicable to the specific case of a heptagon's interior angles.

To determine the sum of the interior angles of a heptagon (a polygon with seven sides), we can use the formula for finding the sum of the interior angles of any polygon, which is given by:

[

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

]

where ( n ) is the number of sides in the polygon. For a heptagon, ( n = 7 ).

Substituting 7 into the formula:

[

\text{Sum of interior angles} = (7 - 2) \times 180 = 5 \times 180 = 900

]

Therefore, the sum of the interior angles of a heptagon is 900 degrees. This means that the choice representing 900 degrees is correct.

In this context, the other options represent sums of angles for different polygons and do not align with the calculations for a heptagon. Thus, they are not applicable to the specific case of a heptagon's interior angles.