1. Create an angle ABC(any size, any degree)
2. Put the sharp end of your compasses at point B. Draw an arc that intersects both sides of the angle. This makes one point on each side of the angle.
{1}{-25}{80} \psline{o->}(0,0)(3,0) \psline{o->}(0,0)(2,3) \psdots(0,0)(1,0)(0.5547,0.832) \end{pspicture}](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_vUz0eEqkmvEjcx_YcveIsn93Rpp5shLvPJLyO7lJ-Vnl_wYPm-UAfvWAfS4sh6p0zNOqZaUl5kMQ7m_6pcSDh1BIAmzcL4zYkYGL4V5yPEHTfHaTSzyXC63nDFDusk=s0-d)
3. Draw an arc from each of these points so that the arcs intersect.
4. Draw the ray from the vertex of the angle to the intersection of the two arcs drawn on the last step.
So we just did all of this:
http://www.shmoop.com/basic-geometry/angles.html
http://planetmath.org/CompassAndStraightedgeConstructionOfAngleBisector.html
http://www.ck12.org/concept/Congruent-Angles-and-Angle-Bisectors---Intermediate/r2/
http://mathforum.org/sanders/geometry/GP05Constructions.html
HOW TO CONSTRUCT A 30 DEGREE ANGLE USING JUST A COMPASS AND A STRAIGHTEDGE?
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