Question

How many sides does a regular polygon have if one exterior angle is 1 degree

Answer 1

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

$\frac{180(n-2)}{n}=\theta$

now, we can plug angle

$\frac{180(n-2)}{n}=179$

now, we can solve for n

$180\left(n-2\right)=179n$

$180n=179n+360$

$n=360$

So,

The number of sides are 360