# The sum of the angles of a polygon is 8100deg how many sides does it have

Dear Student,

Given :  Sum of all interior angles of a polygon =  8100$°$

We know " If any polygon have ' n ' sides then sum of interior angle is = ( n - 2 ) $×$ 180$°$  " .

So,

( n - 2 ) $×$ 180$°$  =  8100$°$  , Now we divide by 180$°$ both hand side and get

( n  - 2 ) =  45  ,

n - 2 = 45

n  = 47

Therefore,

Given polygon have total number of sides  =  47                                         ( Ans )