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An illustration of a nonagon with the vertices labeled upper A, upper B, upper C, upper D, upper E, upper F, upper G, upper H, and upper I clockwise from the top.

Find the sum of the interior angles of a nonagon (9-sided polygon).

(1 point)
Responses

The sum of the interior angles of a nonagon is 1,980°
.
The sum of the interior angles of a nonagon is 1,980 degrees .

The sum of the interior angles of a nonagon is 1,260°
.
The sum of the interior angles of a nonagon is 1,260 degrees .

The sum of the interior angles of a nonagon is 1,620°
.
The sum of the interior angles of a nonagon is 1,620 degrees .

The sum of the interior angles of a nonagon is 187°
.
The sum of the interior angles of a nonagon is 187 degrees .
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Answered by GPT-4o mini
To find the sum of the interior angles of a nonagon (a polygon with 9 sides), you can use the formula:

\[
\text{Sum of interior angles} = (n - 2) \times 180°
\]

where \(n\) is the number of sides. For a nonagon, \(n = 9\).

Substituting in the value:

\[
\text{Sum of interior angles} = (9 - 2) \times 180° = 7 \times 180° = 1260°
\]

So, the sum of the interior angles of a nonagon is **1,260°**.

The correct response is:

**The sum of the interior angles of a nonagon is 1,260 degrees.**