Question

6

Answer 1

Answer:

i. 24 sides

ii. 3960°

Step-by-step explanation:

Let the exterior angle be x.

x + 11x = 180°

12x = 180°

x = 15°

Hence the size of an interior angle is 11 times 15, which is 165°.

The formula for finding the sum of angles in an interior angle is this:

(n-2)180, with n being the number of sides the polygon has.

Hence, you can form this equation.

(n-2 )180 = 165n

180n-360=165n

-360=-15n

24=n

So, with there being 24 sides, the sum of all interior angles is 24 times 165 which equals 3960°