Answer:
The number of sides of polygon is 18.
Step-by-step explanation:
Given: The sum of the angle measures of a polygon with n sides is 2880
Formula:
[tex]\text{Sum of angle of polygon}=(n-2)180^\circ[/tex]
Sum of angle of polygon = 2880
n is number of sides
Substitute the value into formula ans solve for n
[tex](n-2)180=2880[/tex]
Divide by 180 both sides
[tex]n-2=16[/tex]
Add 2 both sides
[tex]n=18[/tex]
Hence, The number of sides of polygon is 18.
Answer:
Number of sides of polygon are:
18
Step-by-step explanation:
We know that:
The sum of the interior angles in a polygon with n sides is (n-2)180º.
Here sum of angle measures=2880
i.e. (n-2)180=2880
⇒ (n-2)=2880/180
⇒ n-2=16
⇒ n=18
Hence, number of sides of polygon are:
18
