Question

A convex figure has five sides. What is the sum of its exterior angles?

Answer 1

So, with interior angles, there's a fomula for figuring out the sum depending on the number of sides.
However, with exterior angles, it ends up being way simpler than that. Regardless of the number of sides, the exterior angles always add up to 360.

Answer 2

The sum of the measures of the exterior angles of any convex polygon, taken one per vertex, is 360 degrees. This is true no matter how many sides the polygon may have.

Answer 3

This website has a nice little gif to try and help you see why.
http://www.mathsisfun.com/geometry/exterior-angles-polygons.html