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

Responses

1260°
1260°

720
720

900°
900°

1080°
1080°

1 answer

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°.