Question

Is it possible to have a regular polygon with each interior angle equal to 105°?​

Answer 1

Hey there!

We know,

each interiror angle = [(2n - 4) * 90] / n

105 = [180n - 360] / n

105n = 180n - 360

180n - 105n = 360

75n = 360

n = 360 / 75

n = 4.8

Hence, it is not possible for  a polygon to have each interior angle = 105°.