Constructing an Angle Bisectior

Angle bisectors are the lines with divide an angle in to two equal parts. They can be constructed as follows,

step 1: construct any angle, and taking radius of any measure construct an arc on the angle.
step 2: take a measure of more than half of the radius and cut an arc from both the points where the first arc was constructed.
step 3: mark the meeting point of the arc and join the meeting point to the vertex of the angle

that is it your angle bisector is constructed!