Here's the question you clicked on:
Brad1996
What is the sum of the measures of the interior angles of a regular polygon where a single exterior angle measures 30°? Numerical Answers Expected! Answer for Blank 1:
\[180 - \rm exterior = interior\]
Did you figure out the interior angle?
Right, now for figuring out the number of sides, use the fact that the sum of exterior angles is always \(360^{\circ}\).
Because one exterior angle is \(30^{\circ}\), we can say that if there are \(n\) exterior angles, then \(30n = 360\).
6 so its a hexagon which has interior angles equal to 120
Scroll up... you figured that the interior angle is \(150\) which was correct!
hmm... but what about n-2.... Ohhh forgot to subtract 2 xd