Answer:
The steps for constructing the bisector of an angle using only a compass and a straightedge are as follows,
Step 1 :
Place the compass on the vertex of the angle.
Step 2 :
Set the compass on the vertex and adjust it to any length.
Step 3 :
Draw arcs on both sides ( rays ) of the angle.
Step 4 :
From the intersection of arcs and sides in both sides draw another arcs ( Without changing the span of compass ) between the sides of the angle such that we get intersection of arcs.
Step 5 :
With help of straightedge, join the vertex and the intersection point we get in previous step.