![50 Degrees Angle Construction Possible Without Protactor? [Duplicate]](https://docuprint.cloud68.co/uploads/50-degrees-angle-construction-possible-without-protactor_1200.jpg)
$\begingroup$
$\endgroup$
7
Is 50 degrees angle construction possible without a protactor or a sine table ? Only using Compass and a ruler.
1 Answer
$\begingroup$
$\endgroup$
3
No, it is not possible to construct a $50$ degree angle only with compass and straightedge.
Constructing 50 degrees is aeqivalent to constructing $10$ degrees (since $60$ degrees is constructable). A $10$ degreesangle has order $36 = 2^2 \cdot 3^3$.
Wikipedia states:
The only angles of finite order that may be constructed starting with two points are those whose order is either a power of two, or a product of a power of two and a set of distinct Fermat primes.
