Question

interior angle of a regular polygon is 108°. find the number of sides of the polygon​

Answer 1

Answer:

The interior angle of a regular polygon is 108 degrees. So, the exterior angle will be 180-108=72. So, the number of sides of the polygon is 360/72=5

Step-by-step explanation:

Please mark as brainlest

Please follow me

Answer 2

Answer:

Step-by-step explanation:

Given that:-

Interior angle of a regular polygon=108°

We know that, The interior angle of a regular polygon of "n" sides

=[(n-2)/n]×180°

=>[(n-2)/n]×180°=108°

=>(n-2)/n=108/180

=>(n-2)/n=3/5

on applying cross multiplication,then

=>5(n-2)=3n

=>5n-10=3n

=>5n-3n=10

=>2n=10

=>n=10/2

=>n=5

Number of sides in the given regular polygon=5