Calculate the total of the interior angles of this heptagon.
Understand the Problem
The question asks to calculate the total of the interior angles of a heptagon using the given formula for polygons, where 'n' is the number of sides. For a heptagon, n equals 7. We will substitute n into the formula and solve for T.
Answer
The total of the interior angles of a heptagon is $900°$.
Answer for screen readers
The total of the interior angles of a heptagon is $900°$.
Steps to Solve
-
Identify the number of sides
For a heptagon, the number of sides ( n ) is 7. -
Substitute ( n ) into the formula
The formula for the total of the interior angles is given by
$$ T = 180° \times (n - 2) $$
Substituting ( n = 7 ):
$$ T = 180° \times (7 - 2) $$ -
Perform the subtraction
Calculate ( n - 2 ):
$$ 7 - 2 = 5 $$ -
Multiply to find the total
Now substitute back into the equation:
$$ T = 180° \times 5 $$
Calculate the total:
$$ T = 900° $$
The total of the interior angles of a heptagon is $900°$.
More Information
A heptagon has seven sides, and its interior angles can be calculated using the formula ( T = 180° \times (n - 2) ). This is a fundamental concept in polygon geometry.
Tips
- Misunderstanding the formula: Ensure the correct formula is used for calculating interior angles, which is ( T = 180° \times (n - 2) ).
- Incorrectly identifying ( n ): Make sure to correctly determine the number of sides for the polygon involved.
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