Respuesta :

For any n-sided (regular) polygon the interior angles are given by [tex]180-\frac{360}{n}[/tex]

So for each shape listed:

Hexagon:
[tex]180-\frac{360}{n}[/tex]
[tex]180-\frac{360}{6}=120[/tex]

Decagon:
[tex]180-\frac{360}{n}[/tex]
[tex]180-\frac{360}{10}=144[/tex]

Pentagon:
[tex]180-\frac{360}{n}[/tex]
[tex]180-\frac{360}{5}=108[/tex]

Octagon:
[tex]180-\frac{360}{n}[/tex]
[tex]180-\frac{360}{8}=135[/tex]

Nonagon:
[tex]180-\frac{360}{n}[/tex]
[tex]180-\frac{360}{9}=140[/tex]

Heptagon:
[tex]180-\frac{360}{n}[/tex]
[tex]180-\frac{360}{7}=128\frac{4}{7}[/tex]

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