You can put this solution on YOUR website! .
The ratio of the exterior and interior angles of a polygon is 7:8. How many sides has the polygon
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If you talk about a regular polygon, then such a polygon as described in the post DOES NOT exist.
The statement of the problem is ambiguous; and with any interpretation I can see the condition is impossible.
Do you mean a regular polygon?
Is the ratio 7:8 between one exterior angle and the corresponding interior angle? or between the sum of all the exterior angles and all the interior angles?
If this is supposed to be a regular polygon, then with a ratio of 7:8 between one exterior and one interior angle, and the sum of the two angles being 180, the exterior angle would be 84 degrees and the interior angle 96 degrees.
But the sum of the exterior angles of any polygon is 360 degrees; that would mean the number of sides would have to be 360/84 = 30/7. But the number of sides of a polygon has to be a whole number....
