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Question Number 176820 by Ar Brandon last updated on 27/Sep/22

Commented by mr W last updated on 27/Sep/22

Commented by som(math1967) last updated on 27/Sep/22

i also misread x=((180−20)/2)=80 thanks Rashid sir for correction

$${i}\:{also}\:{misread} \\ $$$${x}=\frac{\mathrm{180}−\mathrm{20}}{\mathrm{2}}=\mathrm{80} \\ $$$${thanks}\:{Rashid}\:{sir}\:{for}\:{correction} \\ $$

Commented by mr W last updated on 27/Sep/22

i misread as octagon. in case of octadecagon, the right answer is indeed 80°. ((360)/9)−((360)/(18))=20 x=((180−20)/2)=80° Ar Brandon sir: sorry for my mistake!

$${i}\:{misread}\:{as}\:{octagon}. \\ $$$${in}\:{case}\:{of}\:{octadecagon},\:{the}\:{right}\:{answer} \\ $$$${is}\:{indeed}\:\mathrm{80}°. \\ $$$$\frac{\mathrm{360}}{\mathrm{9}}−\frac{\mathrm{360}}{\mathrm{18}}=\mathrm{20} \\ $$$${x}=\frac{\mathrm{180}−\mathrm{20}}{\mathrm{2}}=\mathrm{80}° \\ $$$${Ar}\:{Brandon}\:{sir}: \\ $$$${sorry}\:{for}\:{my}\:{mistake}! \\ $$

Commented by cortano1 last updated on 27/Sep/22

what the formula for interior angle sir W?

$$\mathrm{what}\:\mathrm{the}\:\mathrm{formula}\:\mathrm{for}\:\mathrm{interior}\:\mathrm{angle}\:\mathrm{sir}\:\mathrm{W}? \\ $$

Commented by Ar Brandon last updated on 27/Sep/22

Got it! Thanks!

Commented by Ar Brandon last updated on 27/Sep/22

Thanks so very much!

$$\mathrm{Thanks}\:\mathrm{so}\:\mathrm{very}\:\mathrm{much}! \\ $$

Commented by Rasheed.Sindhi last updated on 27/Sep/22

But sir in the question octadecagon is mentioned instead of octagon?

$$\mathcal{B}{ut}\:\boldsymbol{{sir}}\:{in}\:{the}\:{question}\:\boldsymbol{{octadecagon}} \\ $$$${is}\:{mentioned}\:{instead}\:{of}\:\boldsymbol{{octagon}}? \\ $$

Commented by mr W last updated on 27/Sep/22

Commented by mr W last updated on 27/Sep/22

2x+5°=180° ⇒x=((180−5)/2)=87.5°

$$\mathrm{2}{x}+\mathrm{5}°=\mathrm{180}° \\ $$$$\Rightarrow{x}=\frac{\mathrm{180}−\mathrm{5}}{\mathrm{2}}=\mathrm{87}.\mathrm{5}° \\ $$

Commented by mr W last updated on 27/Sep/22

Commented by mr W last updated on 27/Sep/22

Commented by Ar Brandon last updated on 27/Sep/22

Please Sir, what do ((360)/8)−((360)/9) mean ? Is it a theory?

$$\mathrm{Please}\:\mathrm{Sir},\:\mathrm{what}\:\mathrm{do}\:\frac{\mathrm{360}}{\mathrm{8}}−\frac{\mathrm{360}}{\mathrm{9}}\:\mathrm{mean}\:? \\ $$$$\mathrm{Is}\:\mathrm{it}\:\mathrm{a}\:\mathrm{theory}? \\ $$

Commented by Ar Brandon last updated on 27/Sep/22

OK sir

Commented by mr W last updated on 27/Sep/22

interior angle =180°−exterior angle =180°−((360°)/n)

$${interior}\:{angle}\:=\mathrm{180}°−{exterior}\:{angle} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:=\mathrm{180}°−\frac{\mathrm{360}°}{{n}} \\ $$

Commented by Ar Brandon last updated on 27/Sep/22

Thank you Sir

Commented by Ar Brandon last updated on 27/Sep/22

Right answer is 80° , sir ��

Commented by mr W last updated on 27/Sep/22

87.5° is correct! ((360)/8)−((360)/9)=5 x=((180−5)/2)=87.5°

$$\mathrm{87}.\mathrm{5}°\:{is}\:{correct}! \\ $$$$\frac{\mathrm{360}}{\mathrm{8}}−\frac{\mathrm{360}}{\mathrm{9}}=\mathrm{5} \\ $$$${x}=\frac{\mathrm{180}−\mathrm{5}}{\mathrm{2}}=\mathrm{87}.\mathrm{5}° \\ $$

Commented by Ar Brandon last updated on 27/Sep/22

OK sir. If you both agree on that. Thanks!

Commented by mr W last updated on 27/Sep/22

this is not an opinion, but a fact! it is proved that x is and can only be 87.5°.

$${this}\:{is}\:{not}\:{an}\:{opinion},\:{but}\:{a}\:{fact}! \\ $$$${it}\:{is}\:{proved}\:{that}\:{x}\:{is}\:{and}\:{can}\:{only}\:{be} \\ $$$$\mathrm{87}.\mathrm{5}°. \\ $$

Commented by Tawa11 last updated on 28/Sep/22

Great sirs.

$$\mathrm{Great}\:\mathrm{sirs}. \\ $$

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