The sum of angles in a triangle add up to 180 degrees. This implies that for a given geometrical shape to qualify as a triangle, the angles must sum up to 180 degrees. Given the measure of angles from above, the total sum will be:
60+60+40=160 degrees
This implies that it doesn't satisfy the condition states for triangles, hence we conclude that the are no triangles that can be constructed from the angles measuring 60,60 and 40. Thus the answer is none.