Question

The sum of interior angle of polygon 2160 find the side of polygon

Answer 1

$\textbf{ANSWER}$



The sum of interior angle of a polygon is 2160.



We know that



The sum of interior angle of polygon = ( n - 2 )180



Where n is the number of sides



So by the given condition



( n - 2 )180 = 2160



n - 2 = 2160/180



n - 2 = 12



n = 12 + 2



n = 14



So the number of sides of polygon is 14.

Answer 2

$hey \: mate \: here \: is \: your \: \: answer$

Given That The Sum Of Interior Angle Of A Polygon Is 2160° And We Need To Find The Number of Sides

THEREFORE YOUR SOLUTION IS HERE ➡️➡️

WE KNOW THAT

$(n - 2)180 \: = sum \: of \: interior \: angle \:$$where\:n \: is \: the \: number \: of \: sides$


There for according to question

we have

$(n - 2)180 = 2160$


THAT IS --



$(n - 2) = \frac{2160}{180}$



$n - 2 = 12$



Therefore we have



$n = 12 + 2$


$n \: = 14$

THEREFORE THE NUMBER OF SIDES ARE 14

HENCE THE REQUIRED ANSWER IS


$14 \: sides$


HOPE IT'S HELPFUL |||||

BE BRAINLY ☯️