Question

calculate the no. of sides of a regular polygon if the ratio between itS exterior and interior angles is 5:8​

Answer 1

Answer:

Step-by-step explanation:

No of sides = 360/ vale of exterior angle

It is given that ratio of exterior and interior angle is 5:8

Let the common ratio of the exterior and interior angle be x

So, the exterior angle is 5x and interior angle is 8x.

We know that interior and exterior angle form a Linear paiir

5x + 8x = 180

x = 180/13

Since the value of x is not a whole number hence the exterior angle will be in decimal

Hence the answer to 360/ exterior angle will not be a whole no. So suh a polygon is not possible. Pls check the value of the ratio.