Algebra

1.Use Gauss Theorem to prove that an angle of 20 degree is not contructible.

2.Use Gauss Theorem to decide whether or not an angle of 6 degree is constructible.

Thanks very much guys..... :)

Quote:

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Originally Posted by suedenation

[COLOR=Green]1.Use Gauss Theorem to prove that an angle of 20 degree is not contructible.

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Gauss theorem states that an is constructible ,
where and are distinct Fermat primes (note can be ).

If an angle of degrees were constructible so would a sided
polygon.

The first three Fermat primes are , clearly and
do not divide , so for the to be constructible
would have to be a power of , or (as it is ) would
have to be a power of . They are not so the is not
constructible and so an angle of 20 degrees is not constructible.

RonL

Quote:

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Originally Posted by suedenation

or not an angle of 6 degree is constructible

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The degree angle is constructible
the sided polygon is constructible.



so the is constructible and so the degree
angle is constructible.

RonL