Question

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

Answer 1

Answer:

6'55"

Step-by-step 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 =$\frac{360}{52} =6.923$

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

Answer 2

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