he exterior angles of a k-sided polygon form an arithmetic sequence. The smallest and largest interior angles of the polygon are 136 degrees and 145 degrees. What is k?
+2666 Because we are given that the exterior angles form an arithmetic series, the interior angles must as well.
Let d be the common difference in the series, and let k denote the number of turns.
We have the equation: \(136 + (k-1)d = 145\)
This means \((k - 1)d = 9 \), where both k and d must be integers
Can you take it from here?
