Answer :
Final answer:
The 'trisection of an angle' problem, which is one of the three classical problems of antiquity, involves dividing a given angle into three equal parts using only a compass and a straightedge. The task is generally impossible for arbitrary angles but possible for angles whose degree measure is a multiple of 3.
Explanation:
The three classical problems of antiquity, as they are commonly known, are famous mathematical problems categorically originated by ancient Greek mathematicians. The particular problem you are referring to is the problem of angle trisection. This problem entails dividing a given angle into three equal parts using only a compass and a straightedge, the fundamental tools of geometric constructions.
In the context of these restrictions, the problem of angle trisection is generally impossible to solve for arbitrary angles. However, for some specific angles, the problem is doable. This is because only angles whose degree measure is a multiple of 3 can be trisected using these tools.
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