Question

The ratio of each exterior angle to each interior angle of a regular polygon is 1:9 find the number of sides of the polygon.​

Answer 1

Answer:

=3603600=10

Step-by-step explanation:

let the interior angle of the regular polygon be X.

therefore, the exterior angle is X/4.

Exterior angle + adjacent interior angle =1800 

4X+X=1800

45X=1800

X=1800×54

=1440

the interior angle is 1440

the exterior angle is 360

n=exteriorangle3600

=3603600=10