It is possible. Draw a line segment AB. draw a ray beginning at A at an angle of 60 degrees to AB. draw another ray beginning at B at an angle of 60 degrees from BA(Note that the second ray is in opposite direction of first ray). Take any arbitrary distance on the compass. Put pointy end of compass on point A and cut first ray at point K. put pointy end of compass on K and cut first ray again to get point L. Put pointy end of compass on B and cut second ray to get point M and now put pointy end of compass on M and cut second ray to get point N. join KN and LM. The line segment AB is now trisected.
Angles, in general, cannot be trisected using (unmarked)straight edge and compass alone. In "Abstract Algebra" texts, example Herstein's "Topics in Algebra", it is proved that and 60 degree cannot be trisected using unmarked straight edge and compass alone.
We can divide any line segment into any finite natural number of congruent sub-segments.
It surely can be done. Use the ruler to draw a straight line. Mark any two points on the line and call them "A" and "B". Using the compass strike a circle through "B" having center "A". Using the compass strike a circle through "A" with center "B". Those circles with intersect in two points. Choose either of them and call it "C". The angle CAB will have measure 60 degrees.how to draw an angle of 60 ? with straight ruler unmarked with compass
that cant be done