Question

Write a formula to find the number of sides n in a regular polygon given that the measure of one interior angle is x.

Answer 1

`\boxed{n=-(360)/(x-180)}`

Explanation:

We start off with the formula of the sum of the interior angles of a regular polygon, which is
`180(n-2)`. If we divide this expression by
`n` (the number of sides), we will get
`x`. Therefore, we will get
`x=(180(n-2))/(n)`. Isolating
`n`, we will get our final answer
`\boxed{n=-(360)/(x-180)}`.