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No, it is not. In 1837, the French mathematician, Pierre Laurent Wantzel, proved that it was impossible to do so using only compass and straightedge.
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False. It is impossible to trisect any angle using only a compass and straightedge, as proven by Pierre Wantzel in 1837. While some angles can be trisected using these tools, the general case for all angles cannot be achieved through classical construction methods.