Question

Construct the angles of the following measurements: 

 75°

Answer 1

Steps of construction: 

1. Draw a line segment AB. 

2. With center A any radius, draw an arc which intersect AB at C. 

3. With center C and same radius, draw an arc which intersects previous arc at D. 

4. With center D and same radius, draw an arc which interest are in (2) at E 

5. With centers E and D and radius more than 1/2 ED draw arcs intersecting each other at F. 

6. Join FA which intersects arc in (2) at G

7. With centers G and D, and radius more than 1/2 GD draw arcs intersecting each other at H. 

8. Join HA