Question Number 161177 by azadsir last updated on 13/Dec/21
Answered by Rasheed.Sindhi last updated on 13/Dec/21
$${Let}\:\theta\:{is}\:{the}\:{angle}\:{of}\:\boldsymbol{{Regular}}\:\:\boldsymbol{{n}}-\boldsymbol{{gon}} \\ $$$$\left(\mathrm{180}−\theta\right)×{n}=\mathrm{360} \\ $$$$\theta=\mathrm{180}−\frac{\mathrm{360}}{{n}}=\frac{\mathrm{180}\left({n}−\mathrm{2}\right)}{{n}};\:\:\:\:\:{n}\geqslant\mathrm{3} \\ $$