Question

What is the sum of the interior angles of the nonagon shown?(1 point)
Responses

1260°
1260°

720
720

900°
900°

1080°
1080°

Answer 1

The sum of the interior angles of a polygon can be calculated using the formula:

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

where \( n \) is the number of sides of the polygon.

For a nonagon, \( n = 9 \).

Plugging in the values:

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

Thus, the sum of the interior angles of a nonagon is **1260°**.