the diagram below shows a partly completed construction of the bisector of ∠a. complete the construction.

Explanation:

Step1: Set compass width

Set the compass width to a suitable length. Place the compass - point at the intersection point (B) of the two circles.

Step2: Draw an arc

Draw an arc inside the angle (\angle A).

Step3: Repeat from other intersection

Without changing the compass width, place the compass - point at the other intersection point (D) of the two circles and draw another arc inside the angle (\angle A) such that it intersects the previous arc. Let the intersection of these two arcs be point (E).

Step4: Draw the bisector

Use a straight - edge to draw a ray from point (A) through point (E). The ray (AE) is the bisector of (\angle A).

Answer:

Draw an arc from point (B) and then from point (D) (with the same compass width) inside the angle (\angle A), find their intersection point (E), and draw the ray (AE) which is the angle - bisector of (\angle A).