Question 755901
Theorem: The sum of the interior angles in a polygon with {{{n}}} sides is {{{180(n-2)}}}
if the sum of the interior angles is {{{1080}}}, then

{{{180(n -2)=1080}}}

{{{(n -2)=1080/180}}}

{{{n -2=6}}}

{{{n =6+2}}}

{{{n =8}}}....we have an octagon

Since each interior angle has the same measure, we divide by {{{8}}} to find the measure of one interior angle: 
{{{1080/8=135}}}

Subtract the measurement of each interior angle from {{{180}}} to get the measurement of the corresponding exterior angle.

the corresponding exterior angle is: {{{180-135=45}}}