Question

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

Answer 1

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

`(S)/(n)=(2,340)/(15)^o=156^o`

The answer is 156 degrees