Answer:
The number of sides are 360
Step-by-step explanation:
We are given
exterior angle is 1 degree
Firstly, we will find interior angle
interior angle = 180 - exterior angle
we can plug value
interior angle = 180 - 1
interior angle = 179
now, we can use formula
[tex]\frac{180(n-2)}{n}=\theta[/tex]
now, we can plug angle
[tex]\frac{180(n-2)}{n}=179[/tex]
now, we can solve for n
[tex]180\left(n-2\right)=179n[/tex]
[tex]180n=179n+360[/tex]
[tex]n=360[/tex]
So,
The number of sides are 360
