Question

To bisect an angle using paper folding, fold the paper through the angle so that the line segments determining the angle lie:

Answer 1

To bisect an angle using paper folding, fold the paper through the angle so that the line segments determining the angle lie ON EACH OTHER.

Once these line segments lie on each other, you smoothen the paper so that the resulting crease will serve as the bisection of the angle. 

Answer 2

On each other - APEX ANSWER