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

Understand the Problem

The question is asking for the sum of the interior angles of a heptagon, which is a seven-sided polygon. To find the sum of the interior angles, we can use the formula (n - 2) * 180 degrees, where n is the number of sides.

Answer

The sum of the interior angles of a heptagon is $900$ degrees.

Steps to Solve

Identify the number of sides in the heptagon

A heptagon has 7 sides. So, we set ( n = 7 ).

Apply the formula for the sum of interior angles

We use the formula for the sum of interior angles:

$$ S = (n - 2) \times 180 $$

Substituting ( n = 7 ):

$$ S = (7 - 2) \times 180 $$

Calculate the value

Now perform the calculation inside the parentheses:

$$ S = 5 \times 180 $$

Final computation

Now multiply:

$$ S = 900 $$

The sum of the interior angles of a heptagon is $900$ degrees.

More Information

The formula for finding the sum of the interior angles of a polygon helps simplify calculations for various shapes. A heptagon is an interesting shape, often used in various design and architectural contexts.

Tips

Forgetting to subtract 2 from the number of sides before multiplying by 180. Make sure to always perform the subtraction first.

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