How can I draw angles using just a ruler and compass?

[Dooga Blackrazor]

Does anyone know a site that shows how to draw angles using only a ruler and a compass?

60 degree, 35 degree, 45 degree angels ect.

Any explanation on how to do this would be great. I have to show curves to signify that I used the compass and I believe the method involves a point of intersection.

Thanks,

 

[dav2008]

Imagine a x/y coordinate plane with a line segment going out $$\theta$$ counterclockwise from the positive x-axis. You can use the fact that the tangent of that angle will give you the slope of that line to figure out the x and y distance you have to go to make that angle.

If that's not clear, just draw a triangle and label your theta. Using trig functions you can find the possibilities for the sides.

 

[mathlete]

Drawing a 45 degree angle is easy if you know how to bisect an angle (you use two coordinate axes).

 

[Tom McCurdy]

Define A value for one of your sides use trig to find the value for the other two sides given an angle.

From this set your compas to your first desired length draw a circle
then set the compas to the second length pick a point along the first circle draw your next circle

 

[Dooga Blackrazor]

I finished my bonus sheet, I appreciate everyone's help.