You can
put this solution on YOUR website!
The sum of the measures of the exterior angles of any
polygon is 360°. Since the 20-sided polygon is a regular
polygon, all 20 exterior angles have the same measure,
so each is
or 18° each. The green lines
below form one exterior angle of the 20-sided polygon.
It's interesting that each exterior angle is congruent to
every central angle. As you see below, each central angle
also has measure 18°.
Edwin