Angle Bisector

1. Begin with two rays, intersecting at point A.

2. Construct an arbitrary circle. It intersects the rays at points B and C.

3. Construct the midpoint of points B and C.

4. Construct the line $$\overset{\longleftrightarrow} {A M}$$. Angle $$ \angle BAM = \angle CAM = \tfrac{1}{2} \angle BAC $$