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?
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?