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.....
Gauss theorem states that an is constructible ,Originally Posted by suedenation
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