



Place
one ray at 3 O'clock.



Place the
other ray at 3 O'clock. 











How many
degrees is this angle? 





Is it
zero degrees? 


Or did we
go all the way around the circle 











for an
angle of 360 degrees? 





Big
problem, eh? 





Well, not
really. 





If you
saw a 360 degree angle 


and a
zero degree angle 


they
would both look the same. 





So we
just say: 


0 degrees
= 360 degrees






What
happens if the angle goes 


all the
way around the circle twice? 











360
degrees + 360 degrees = 720 degrees






But hey!
We're right back where we started from. 


That
means: 


0 degrees
= 360 degrees = 720 degrees






Here's
the deal. 


Take any
angle, add 360 degrees to it. 


What you
get is equal to what you started with! 





This
works with any angle, 


not just
0 or 360 ... 





Say you
have a 90 degree angle: 











add one
trip around the circle (360 degrees) to it ... 











90 degrees + 360
degrees = 450 degrees 





But you
are right back where you started, so ... 





450 degrees = 90
degrees 





copyright 2005 Bruce Kirkpatrick 
