The steps to construct an angle bisector to a given angle using a compass and straightedge are given below. arrange them in the correct order. draw the point of intersection between the two arcs. use a straightedge to draw a ray between the vertex of the given angle and the point of intersection between the two arcs. use a compass to swing an arc from the vertex of the given angle that intersects both rays of that angle. from the intersection points between the arc and each ray, use a compass to draw two equal arcs (one arc from each point) inside the given angle that will intersect. draw the two points of intersection between the arc and each ray of the given angle.