Question 214306
Find the interior angle, the central angle, and the exterior angle of a regular hexagon.
A hexagon is a polygon having six sides.
The interior angle of a regular polygon of n sides is given by:
{{{A[i] = (n-2)(180)/n}}}degrees.
In this problem, n = 6, so...
{{{A[i] = (6-2)(180)/6}}}degrees. Evaluate.
{{{A[i] = 4(180)/6}}}
{{{A[i] = 360/3}}}
{{{A[i] = 120}}}degrees.
The exterior angle is just the supplement of the interior angle, so...
{{{A[e] = 180-A[i]}}}
{{{A[e] = 180-120}}}
{{{A[e] = 60}}}degrees.
The central angle is:
{{{A[c] = 360/n}}}
{{{A[c] = 360/6}}}
{{{A[c] = 60}}}