My name is Joan The question is: How many sides does a polygon have if its smallest interior angle is 120 degrees and each sucessive angle is 5 degrees greater than the predecessor? Thanks for your help as soon as possible! Hi Joan,The sum of the interior angles of a polygon with n sides is (n2)180^{o}. (You can find an outline of the proof in the answer to a previous question.) I then solved this problem with some arithmetic and using a table to keep track of what I was doing.
The first column is the number of sides in the polygon and the second column is the sum of the interior angles given by (n2)180^{o}. The third column is the sum of the angles in the polygon if your criteria is correct. That is for n = 3 the sum would be Continue the table until you find a row where columns two and three agree. Cheers,Penny
