Question

The sum of the interior angle measure of a polygon is 3,420°. how many sides does the polygon have?

Answer 1

21 sides

Explanation:

We can calculate the number of sides by means of the following equation

`\begin{gathered} s=180\cdot(n-2) \\ s=\text{ sum of the interior angles} \\ n=\text{ number of sides } \end{gathered}`

Replacing and solving for n:

`\begin{gathered} 3420=180\cdot(n-2) \\ n-2=(3420)/(180) \\ n=19+2 \\ n=21 \end{gathered}`

Therefore this polygon has a total of 21 sides