Question

Geometry math question no Guessing and Please show work thank you

Answer 1

It is given that , each angle of a regular polygon measures 160 . And to check the polygon, we have to use the following formula

`S= ((n-2)180)/(n)`

n is the number of sides

`160=((n-2)180)/(n)`

Cross multiplication

160n = 180n -360

Subtracting 180n to both sides

-20n =-360

Dividing both sides by -20

n =18

So the polygon must have 18 sides