Question

the ratio of an interior angle to the exterior angle of a regular polygon is 5:1.Find the number of sides​

Answer 1

Answer:

Step-by-step explanation:

The ratio being 5:1 allows us to find the exterior angle by letting it be x, and the interior angle to be 5x. So, 5x + x = 180, or 6x = 180. Divide both sides by 6 to get x = 30. Now, the sum of all of the exterior angles (there are the same number of vertices as there are sides) is 360 degrees.

Answer 2

Answer:

let the ratio be X

Interior angle +Exterior angle =180

5x+1x=180

=6x=180

= X = 180/6

=30

Exterior angle = 1*30=30

Number of sides =360/exterior

Number of sides =360/30

=12