Question

find the number of sides of a regular polygon if the ratio of each interior and exterior angle is 4:1 ​

Answer 1

Answer:10

Step-by-step explanation:

Since, the ratio of its internal to external angle is 4:1, you can say that

its internal angle = 4x and exterior angle = x.

Therefore,

4x + x = 180

=> x = 36

Exterior angle = 36 degrees

now (exterior angle) = 360/(no. of sides)

solving, you will get no. of sides = 10