Question

Find the sum of the measures of the exterior angle of a 52-gon

Answer 1

Each exterior angle = 6.923076923076923
So, 6.923076923076923 * 52 = 360

Answer 2

6'55"

Explanation:

For any polygon irrespective of the number of sides of the polygon, the exterior angles add upto 360 degrees.

To find out each exterior angle:

No of sides of the polygon = 52

No of exterior angles of the polygon = 52

Total angles =360

Hence each interior angle =
`(360)/(52) =6.923`

i.e. each exterior angle = 6 degrees and 55 minutes.