Answer :

Remember that

The sum of the interior angles in any polygon is given by the formula

[tex]S=180^o(n-2)[/tex]

where

n is the number of sides of the polygon

In this problem

n=15

substitute

[tex]\begin{gathered} S=180^o(15-2) \\ S=2,340^o \end{gathered}[/tex]

Divide by the number of sides to obtain the measure of each interior angle

[tex]\frac{S}{n}=\frac{2,340}{15}^o=156^o[/tex]

The answer is 156 degrees

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