Question

Can someone please help me find the answer to the following?

Answer 1

For a given polygon with n sides, the formula for the exterior angles is

`\begin{gathered} (360)/(n)=\theta \\ \text{where }\theta\text{ is an exterior angle. } \end{gathered}`

In our case,

`\theta=17.14`

then, by substituting this value into our formula,we get

`(360)/(n)=17.14`

By moving n to the right hand side, we have

`360=17.14* n`

and n is given as

`\begin{gathered} n=(360)/(17.14) \\ n=21.0035 \end{gathered}`

Therefore, by rounding down this result, the answer is 21 sides.