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 (n-2)180o. (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 (n-2)180o. 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,