Dividing a Wedge

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Given a wedge (some percentage of a circle, less than 50% in my case), is there a way to easily divide it into 3 (roughly) equal areas? I'm thinking some subset/simplification of Euclidean geometry.

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In general, you can not trisect the angle with just a straightedge and compass. The proof of this utilizes Galois theory(or some abstract algebra).

There are other ways to trisect an angle if you allow other tools.