Answer:

13.Not possible

14.Not possible

Step-by-step explanation:

Remember,the formula is S=(n-2)180.We need to do some algebraic manipulations to solve for n.

S=(n-2)180

n-2=S/180

n=(S/180)+2

Now we got the equation,just substitute the given sum.

14.

n=(135/180)+2

n=(27/36)+2

n=(3/4)+2

n=(3/4)+(8/4)

n=11/4

As it turns out,no polygon with this sum of interior angles exist.

13.

n=(S/180)+2

n=(150/180)+2

n=(5/6)+2

n=(5/6)+(12/6)

n=17/6

As it turns out,no such polygons also exist.