how do u find how many sides a regular polygon has by just finding one of its angles, for ex:160 degrees?

Question

i can't figure it out, can any of u help me?

Answer 1

there is a formula

you can use 360/n
n being number of sides
to give you measure of each angle so just apply that in a dif. form

Answer 2

for the total value of all angles , the formula is (n-2)x180 where n is the number of sides

for a regular polygon, all the angles will be the same
(n-2)x 180 = 160n
20n = 360
n = 18