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.
Answer for screen readers
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.
