GEOMETRY 1

The interior of a regular polygon is 170⁰. Find the number of sides

Solution

i = (n-2)180⁰

          n

But  i=170⁰.

170⁰ = (n-2)180⁰

                 n

170 x n = (n-2)180⁰ x n  multiplying by n both sides.

                  n

170n = (n-2)180⁰   

170n = 180n-360⁰

360⁰  = 180n- 170n

360⁰  = 10n

n = 36 after dividing by 10 both sides.    

Hence number of sides = 36            

TRY THIS……………………….

The interior of a regular polygon is 150⁰. Find the number of sides