Question

The sum of the angle measures of a polygon with n sides is 1440 . Find n.

Answer 1

We have that the sum of the angles measures of a polygon with n sides is 1440

The formula to find this is

$\mleft(n-2\mright)\mleft(180\mright)=1440$

we need to clear x

$\begin{gathered} (n-2)=\frac{1440}{180} \\ n-2=8 \\ n=8+2 \\ n=10 \end{gathered}$

the value of n =10

the polygon has 10 sides