Question
Tue January 15, 2013 By:
 

The angles of a polygen in A.P whose smallest angel is 120 degree and rest of the angles are greter by 5 degree.Find the sides of polygen.

Expert Reply
Wed January 16, 2013
sum of the interior angles of a polygon=(n-2)180=n/2[2*120+(n-1)5]
                                                2*(180n-360)=240n+5n^2-5n
                          5n^2-125n+720=0
                            n^2-25n+144=0
                            ( n-9)( n-16)=0
so n=16 or n=9
Ask the Expert