If outer angle in n−polygone is 18° find n


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Question Number 175893 by blackmamba last updated on 08/Sep/22

$I f o u t e r a n g l e i n n - p o l y g o n e i s 18 °$ $f i n d n$
Commented by Rasheed.Sindhi last updated on 09/Sep/22

$n = 20$
Commented by blackmamba last updated on 09/Sep/22

$w h a t t h e f o r m u l a$
Commented by BaliramKumar last updated on 09/Sep/22

$\frac{360}{18} = 20$
	Answered by Rasheed.Sindhi last updated on 09/Sep/22

	$C e n t r a l a n g l e : 360 / n$ $A n g l e b e t w e e n c o n s e c u t i v e s i d e s :$ $180 - \frac{360}{n} = \frac{180 n - 360}{n}$ $o u t e r a n g l e : 180 - \frac{180 n - 360}{n}$ $= \frac{180 n - 180 n + 360}{n} = \frac{360}{n}$ $\frac{360}{n} = 18 \Rightarrow n = \frac{360}{18} = 20$ $\begin{matrix} \underset{\overset{}{n = \frac{360}{Outer angle}}}{Outer angle = \frac{360}{n}} \end{matrix}$
	Commented by peter frank last updated on 09/Sep/22

	$thanks$
	Commented by Tawa11 last updated on 15/Sep/22

	$Great sir .$
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