*Trying Multiple Examples*. Students calculated the interior angle measurements for several more regular polygons and made observations. (I've reworded them slightly.)

- When $n$ is 180 or 360, the angle is a whole number. It seems to be going up by 180.
- When $n$ is a multiple of $7$, the angle is a decimal.
- When $n$ is any of $150, 250, 350, \ldots$ the angle is a decimal
- If both $n$ and $n-2$ are prime (except $n=5$!), then the angle is a decimal
- If $n$ is a factor of $12$, then the angle is a whole number
- Some multiples of $12$ give whole number angles
- If $n$ is prime, greater than $10$, and not a multiple of $6$, then the angle is a decimal
- If $n=12345678912$, then the angle is a whole number