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Alexandra [31]
1 year ago
3

Show instructionsQuestion 7 (2 points)Each interior angle of a regular polygon with 15 sides is: (round to 1 decimal place, if n

ecessary)____ degrees
Mathematics
1 answer:
jeka57 [31]1 year ago
3 0

Remember that

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

S=180^o(n-2)

where

n is the number of sides of the polygon

In this problem

n=15

substitute

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

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

\frac{S}{n}=\frac{2,340}{15}^o=156^o<h2>The answer is 156 degrees</h2>
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