Question

The sum of all the interior angel of a regular polygon is twice the sum of its exterior angel. Find the number of the side of the polygon

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Step-by-step explanation:

Here it is mentioned,

Sum of Interior Angels = 2*(Sum of Exterior Angels)

So,

Sum of interior angel is = 2(n-2)*90°

Sum of exterior angel is = 360°

We can say that,

2(n-2)*90= 360*2

=> (2n-4)*90= 720

=> 180n - 360= 720

=> 180n = 720+360

=> 180n = 1080

=> n = 1080/180

=> n = 6

Value of n is 6. Which is the no. of side of the polygon.