I'll echo Chiro by saying that the problem of trisecting an angle is specifically that it is impossible to trisect an arbitrary angle using only a compass and a straight edge. As Chiro demonstrated with a concrete example, there is a property derived from Galois theorey called 'constructable' for which you can prove that certain geometric elements can or cannot be constructable.
You can prove lots of neat things such as the constructability of certain n-gons.
Of course, biblical creationists are committed to belief in God's written Word, the Bible, which forbids bearing false witness; --AIG (lest they forget)