What is the measure of each exterior angle of a regular 20-gon?

Question

Thank you so much in advance!💙

Answer 1

In the 1960's, Seymour Papert and the team at M.I.T. used a "turtle" with a pen, controlled by a computer, to teach programming to kids.

 

If a "turtle" begins facing North, moves a fixed distance, turns left a certain amount, moves the same fixed distance, turns left the same certain amount, ... and does this 20 times, it will have turned completely around.  Thus, the sum of the exterior angles will be 360°.  So, for a regular 20-gon, each exterior angle is 360°/20 = 18°.

 

Logo ("Turtle graphics")  is super cool for geometry. See TurtleAcademy.com (and Playground => Register users can create , save and share their own programs here).

 

Try this:

repeat 20 [forward 30 left 18]

 

Now, see what happens when you change the numbers!!! 

Answer 2

E = 360

a = 360/20
a = 18º