Question

the ratio between exterior and interior angle of a regular polygon is 1is to 5, then find the number of sides in the polygon

Answer 1

The number of sides in the polygon is 6.

Step-by-step explanation:

To find the number of sides in a regular polygon, we can use the fact that the sum of the exterior angles of any polygon is always 360 degrees.

Let's represent the measure of the exterior angle as x degrees. Since the ratio of exterior angle to interior angle is 1:5, we can set up the proportion: x/5x = 1/5.

Solving this equation, we get x = 60 degrees. Since the sum of exterior angles is 360 degrees, the number of sides in the polygon is 360/60 = 6.