GEOMETRY J1

 

The total interior angles of a regular polygon is 2880⁰. Find the exterior angle.

Solution

(n-2)180⁰= Total interior angles.

(n-2)180⁰ = 2880⁰

(n-2)180⁰ = 2880⁰      Dividing by 180⁰ both sides

    180⁰            180⁰

 

(n-2) = 16

 n  = 16+2

n = 18

 

Exterior angle=360⁰ ÷ n

 

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 exterior angle.