SOLUTION: THE SUM OF THE MEASURES OF THE INTERIOR ANGLES OF A CONVEX POLYGON IS gIVEN. CLASSIFY THE POLYGON BY THE NUMBER OF SIDES. 1260Degrees 2160degrees 3240degrees 4680degrees 540

Question 390756: THE SUM OF THE MEASURES OF THE INTERIOR ANGLES OF A CONVEX POLYGON IS gIVEN. CLASSIFY THE POLYGON BY THE NUMBER OF SIDES.
1260Degrees
2160degrees
3240degrees
4680degrees
5400degrees
7560degrees
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
I would advise not to write a question in all caps. Thank you.

The sum of the angles of an n-sided polygon is given by 180(n-2). For each problem, just plug in 180(n-2) = x, where x = {1260, 2160, ..., 7560} and solve (hopefully you'll get an integer for all of them).
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