Question
The shape is an irregular heptagon with 7 sides and 7 angles, none of which appear equal or symmetric.
what is the sum of the interior angles of the polygon shown described?
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what is the sum of the interior angles of the polygon shown described?
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Answers
GPT-4o mini
The sum of the interior angles of a polygon can be calculated using the formula:
\[
\text{Sum of interior angles} = (n - 2) \times 180^\circ
\]
where \( n \) is the number of sides in the polygon.
For a heptagon, \( n = 7 \):
\[
\text{Sum of interior angles} = (7 - 2) \times 180^\circ = 5 \times 180^\circ = 900^\circ
\]
Thus, the sum of the interior angles of an irregular heptagon is \( 900^\circ \).
\[
\text{Sum of interior angles} = (n - 2) \times 180^\circ
\]
where \( n \) is the number of sides in the polygon.
For a heptagon, \( n = 7 \):
\[
\text{Sum of interior angles} = (7 - 2) \times 180^\circ = 5 \times 180^\circ = 900^\circ
\]
Thus, the sum of the interior angles of an irregular heptagon is \( 900^\circ \).