Question 1006517

Let {{{y}}} = the exterior angle.

if each exterior angle in a regular n-gon measures more than {{{15}}} degrees, then

{{{y>15}}}

since the exterior angle is equal to {{{y=360/n}}} , we will have

{{{360/n>15 }}}
{{{360>15n}}}
{{{n<24}}}

so, first regular  n-gon with an exterior angle measures more than {{{15}}} degrees the maximum value of {{{n=23}}}