SOLUTION: The interior angles of a convex nonagon have degree measures that are integers in arithmetic sequence. What is the smallest angle possible in this nonagon?

Question 935656: The interior angles of a convex nonagon have degree measures that are integers in arithmetic sequence. What is the smallest angle possible in this nonagon?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
The interior angles of a convex nonagon have degree measures that are integers in arithmetic sequence. What is the smallest angle possible in this nonagon?
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Exterior angles of a regular nonagon are 360/9 = 40 degrees
--> interior angles = 140 degs
--------
For the 9 angles, 140 is the average
--> 136,137,138,139,140,141,142,143,144 degs

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