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Question Number 179432 by cortano1 last updated on 29/Oct/22

Commented by som(math1967) last updated on 29/Oct/22

x+72=108  ⇒x=36

$${x}+\mathrm{72}=\mathrm{108} \\ $$$$\Rightarrow{x}=\mathrm{36} \\ $$

Commented by CElcedricjunior last updated on 29/Oct/22

x=90−60=30•

$$\boldsymbol{\mathrm{x}}=\mathrm{90}−\mathrm{60}=\mathrm{30}\bullet \\ $$

Answered by JDamian last updated on 29/Oct/22

x(n)=((n−4)/n)180°     ∀n>4  for an  n−side regular polygon    For a regular pentagon (n=5):  x(5)=((5−4)/5)180°=((180°)/5)=36°

$${x}\left({n}\right)=\frac{{n}−\mathrm{4}}{{n}}\mathrm{180}°\:\:\:\:\:\forall{n}>\mathrm{4} \\ $$$${for}\:{an}\:\:{n}−{side}\:{regular}\:{polygon} \\ $$$$ \\ $$$${For}\:{a}\:{regular}\:{pentagon}\:\left({n}=\mathrm{5}\right): \\ $$$${x}\left(\mathrm{5}\right)=\frac{\mathrm{5}−\mathrm{4}}{\mathrm{5}}\mathrm{180}°=\frac{\mathrm{180}°}{\mathrm{5}}=\mathrm{36}° \\ $$

Answered by manxsol last updated on 29/Oct/22

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