Question

The ratio of the exterior angle to the interior of a regular polygon is 5:2. How many sides does the polygon have?

Answer 1

Answer:

5

Step-by-step explanation:

sum of all exterior angle of polygon = (2N+4)X90 DEGREE

Sum of all interior angle of polygon = (2N-4)x90 degree

here N is number of sides of polygon

so,

(2N+4)X90 / ( 2N-4)X90 = 5/2

SO, (N+2)/(N-2) = 5/2

SO, N= 14/3 = 4.66 nearly equal to 5

so, number of sides ,the polygon have = 5