Question

Construct the angles of the following measurements: 

 22 1/2°

Answer 1

Steps of construction: 

Step 1: Draw a line segment AB 

Step 2: with center A and any radius, draw an arc which intersects AB at C 

Step 3: with center C and same radius, draw an arc which intersect previous arc at D 

Step 4: with center D and same radius, draw an arc which intersects arc in (2) at E.

Step 5: with center E and D and radius more than half of ED, draw arcs intersecting each other at F. 

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

Step 7: with center G and C and radius more than half of GC, draw arcs intersecting each other at H 

Step 8: Join HA which intersects arc in (2) at 1. 

Step 9: with centers I and C and radius more than half of IC, draw arcs intersecting each other 

Step 10: Join JA