(iv) Construct the angle bisector of a given angle

Steps: 1. Create an angle, ABC from vertex B. 2. Place point D on BC. 3. Create a circle with center B, radius BD. 4. Place a point, E, where the circle just created intersects ray BA. 5. Create a circle centered at D with radius BD 6. Make a circle centered at E, with radius BE. 7. The point where the circles with radius EB and DB, place point F. 8. Place a line from B through F, thus creating an angle bisector.