Here are the steps to draw an angle of 105 degrees
1)make an angle of 120 degrees.
2)bisect the second 60 degrees angle into 30 degrees.
3)now bisect the left 30 degrees.
4)join this arc to the vertex.
you get a 105 degrees angle.
http://www.flickr.com/photos/59784170@N06/5464221463/