Respuesta :
Answer:
Decagon
Step-by-step explanation:
We can use the general equation to determine the sum of interior angles:
[tex]I.A. = 180 \times (n-2)[/tex]
Since we know the sum of interior angles (I.A.) is 1440°, we must figure out n - the number of sides and so:
[tex]1440=180(n-2)\\\\\frac{1440}{180}=n-2\\\\8=n-2\\\\n=10[/tex]
Since n=10 this means that it is a 10 sided shape meaning it's a decagon.
Answer:
decagon
Step-by-step explanation:
1440=180(n-2)
8=n-n
n=10
this means that your answer is going to is decagon.