GEOMETRY J3

 

The total interior angles of a regular polygon is 5,580⁰. Find the interior angle.

 

Solution

 

(n-2)180⁰= Total interior angles.

(n-2)180⁰ = 5,580⁰

(n-2)180⁰ = 5,580⁰      Dividing by 180⁰ both sides

    180⁰              180⁰

 

(n-2)     =   558²⁷⁹     After canceling by 2

    1                 18 ₉

 

(n-2)         = 279 ⁹³     After canceling by 3

   1                        9  ₃

 

(n-2)          = 93 ³¹     After canceling by 3 again

    1                      3  ₁

 

 

(n-2)  = 31

 

n  = 31+2

n = 33

 

i = (n-2)180⁰

       n            .

 

i = (33-2)180⁰

        33          

 

i = 31 x180⁰

        33           

 

i = 31 x 60⁰

        11           

 

 

i = 1860/11⁰

 

Interior angle=1860/11⁰

 

 

TRY THIS……………….

 

 

The total interior angles of a regular polygon is 6840⁰. Find the interior angle.