Question
calculate the sum of the interior angles in degrees of a convex polygon with 9 sides.
Answers
GPT-4o mini
The sum of the interior angles \( S \) of a convex polygon can be calculated using the formula:
\[
S = (n - 2) \times 180
\]
where \( n \) is the number of sides of the polygon. For a polygon with 9 sides:
\[
S = (9 - 2) \times 180
\]
\[
S = 7 \times 180
\]
\[
S = 1260
\]
Therefore, the sum of the interior angles of a convex polygon with 9 sides is **1260 degrees**.
\[
S = (n - 2) \times 180
\]
where \( n \) is the number of sides of the polygon. For a polygon with 9 sides:
\[
S = (9 - 2) \times 180
\]
\[
S = 7 \times 180
\]
\[
S = 1260
\]
Therefore, the sum of the interior angles of a convex polygon with 9 sides is **1260 degrees**.