Plot 4 points (n,S) that satisfy the equation.

Question

The sum S of the exterior angle measures of a polygon with n sides is S=360°.

Answer 1

The sum of the exterior angles of any regular polygon is always 360

Proof:

The polygon CONTAINS a total of (n-2)*180 degrees.

Each interior angle is (n-2)*180 / n

= (180n - 360) / n

= 180 - 360/n

The supplement is:

180 - (180 - 360/n) = 360/n

The sum of these is n factors of (360/n) , or 360.

end of proof.

Any quadrilateral will suffice.