Respuesta :

We need to find the sum of the interior angles of a convex nonagon.

First, let's remember that a nonagon is a polygon with 9 sides.

Also, the formula to find the sum of the interior angles for a convex polygon of n sides is:

[tex]\text{ sum of interior angles }=(n-2)\cdot180\degree[/tex]

So, in this case, we have n = 9. Using this value in the above formula, we obtain:

[tex]\begin{gathered} \text{ sum of interior angles of a convex nonagon }=(9-2)\cdot180\degree \\ \\ =7\cdot180\degree \\ \\ =1260\degree \end{gathered}[/tex]

Therefore, the answer is 1260º.

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