Question 1040997
I believe you (or whoever created the problem) meant to write 8x^o, with the lowercase letter o as an exponent to show degrees, as in {{{8x^o}}} .
 
The exterior angles in any polygon are the changes in direction at each vertex as you go around the polygon.
As a consequence, the sum of exterior angles in any polygon is {{{360^o}}} , because going all the way around the polygon, you turn yourself around by {{{360^o}}} .
In a regular polygon, all angles have the same measure.
In a regular hexagon, all {{{6}}} exterior angles measure {{{360^o/6=60^o}}} .
Each interior angle is supplementary to an exterior angle,
meaning they both add to {{{180^o}}} ,
so each interior angle of a regular hexagon measures {{{180^o-60^o=120^o}}} .
Your problem translates into the equation {{{8x=120}}} .
Solving:
{{{8x=120}}} ---> {{{x=120/8}}} ---> {{{highlight(x=15)}}} .