The result of dividing the interior angles of a regular polygon by its exterior angle is 2.5, find the number of sides of the polygon
+128408 Let the exterior angle = x
Let the interior angle = 2.5x
So....the sum of an interior angle and its exterior angle = 180°
So.......
x + 2.5x = 180
3.5x = 180
x = 180 / 3.5 = 360/7 = the exterior angle
Since the sum of the exterior angles of a polygon = 360 the polygon must have 7 sides
