SOLUTION: A regular hexagon has an interior angle of measure (8x)^0. Find the value of x.

Question 1040997: A regular hexagon has an interior angle of measure (8x)^0. Find the value of x.
Found 2 solutions by Fombitz, KMST:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Independent of the value of x, the expression has a value of 1, since any expression to the zero power equals 1.
However the required value for a regular hexagon interior angle is 60.
So there is some confusion in this problem.
Please check the problem setup and repost.
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
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 .

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 , because going all the way around the polygon, you turn yourself around by .
In a regular polygon, all angles have the same measure.
In a regular hexagon, all exterior angles measure .
Each interior angle is supplementary to an exterior angle,
meaning they both add to ,
so each interior angle of a regular hexagon measures .
Your problem translates into the equation .
Solving:
---> ---> .

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