The interior angles of a polygon is 5 times the exterior angle. If the sum of the interior angle is 5040. Find the exterior angle

x + 5 x = 180

6 x = 180
x = 30 degrees (exterior)

so twelve sides (360/30)
5x = interior angle = 150

finding what kind of polygon ...

180(n-1) = 5040
n-1 = 28
n = 29
So you have a polygon of 29 sides

So each interior angle is 5040/29 = appr 173.79°
each exterior angle = 360/29 = appr 12.413°
the interior angle is NOT 5 times the exterior angle

bogus question, check your typing or the question itself.

So where does the 5040 enter the picture?

I think the 5040 is from outer space.

To find the exterior angle of a polygon, we need to know the number of sides in the polygon. However, the problem statement does not provide this information. Without the number of sides, we cannot proceed to find the exterior angle.

Please provide the number of sides of the polygon so that we can help you find the exterior angle.