GEOMETRY J2

 The total interior angles of a regular polygon is 3,960⁰. Find the interior angle.

Solution

(n-2)180⁰= Total interior angles.

(n-2)180⁰ = 3,960⁰

(n-2)180⁰ = 3,960⁰      Dividing by 180⁰ both sides

    180⁰              180⁰

 

(n-2) = 22

 n  = 22+2

n = 24

 

i = (n-2)180⁰

       n            .

i = (24-2)180⁰

        24           

 

i = 22 x180⁰

        24           

 

i = 165⁰

 

Interior angle=165⁰

 

Exterior angle=360⁰ ÷ 18

 

Exterior angle=20⁰

 

 Hence the exterior angle is 20⁰  

 

TRY THIS……………….

 

 

The total interior angles of a regular polygon is 2340⁰. Find the interior angle.