Check the picture attached
let the rays forming angle T be ray 1 and ray 2
Draw a circle with center point T. Let the intersection of the circle with rays 1 and 2 be at points A and B respectively.
Draw 2 circles with centers A and B so that:
The radii (radius'es) are equal, and they are large enough to intersect.
Denote the intersection of these 2 circles with C.
Join T to C. The line through T and C is the bisector.