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High Quality Content by WIKIPEDIA articles! The problem of trisecting the angle is a classic problem of compass and straightedge constructions of ancient Greek mathematics. Two tools are allowedAn un-marked straightedge, and a compass.Problem: construct an angle one-third a given arbitrary angle.With such tools, it is generally impossible, as shown by Pierre Wantzel (1837). This requires taking a cube root, impossible with the given tools. The fact that there is no way to trisect an angle in general with just a compass and a straightedge does not mean that it is impossible to trisect all angles so. Also, it is possible to trisect any angle analytically.