Need Help Calculating Degrees

: Math in Art: Need Help Calculating Degrees
   By Ryan Mickelson on Wednesday, January 14, 2009 - 10:11 am: Edit Post

As a former consumer math student, I fail to comprehend how one divides a circle into degrees using only a compass and unmarked ruler. I was hoping someone could answer/direct me to an answer for the following questions:

5. Construct an angle of 15 degrees.
7. Given a line l and a point A outside l, construct a line m passing through A and intersecting l at 30 degrees.


   By Sasho on Wednesday, January 14, 2009 - 06:08 pm: Edit Post

5. First construct an angle of 60 (done in class; same as constructing an equilateral triangle). The subdivide it into two equal angles (done in class); get an angle of 30. Then subdivide into two again.

7. Construct an angle of 30 as described above. Duplicate it over the given line l; this means that l will be one of the sides of the angle; call the other side m. Then construct a line through A parallel to m (as shown in class).


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