Question Number 179432 by cortano1 last updated on 29/Oct/22
Commented by som(math1967) last updated on 29/Oct/22
$${x}+\mathrm{72}=\mathrm{108} \\ $$$$\Rightarrow{x}=\mathrm{36} \\ $$
Commented by CElcedricjunior last updated on 29/Oct/22
$$\boldsymbol{\mathrm{x}}=\mathrm{90}−\mathrm{60}=\mathrm{30}\bullet \\ $$
Answered by JDamian last updated on 29/Oct/22
$${x}\left({n}\right)=\frac{{n}−\mathrm{4}}{{n}}\mathrm{180}°\:\:\:\:\:\forall{n}>\mathrm{4} \\ $$$${for}\:{an}\:\:{n}−{side}\:{regular}\:{polygon} \\ $$$$ \\ $$$${For}\:{a}\:{regular}\:{pentagon}\:\left({n}=\mathrm{5}\right): \\ $$$${x}\left(\mathrm{5}\right)=\frac{\mathrm{5}−\mathrm{4}}{\mathrm{5}}\mathrm{180}°=\frac{\mathrm{180}°}{\mathrm{5}}=\mathrm{36}° \\ $$
Answered by manxsol last updated on 29/Oct/22