Question 1102475
If 
{{{E}}}= measure of each exterior angle, and
{{{I}}}= measure of each interior angle,
then
{{{38E}}}= 38 times the measure of each exterior angle, and
{{{38E+24}}}= 24 more than 38 times the measure of each exterior angle.
So, your equation should have been
{{{I=38E+24}}} .
I do not know how you got {{{I=178}}} from {{{I+24=38E}}} ,
but it is often easier to work with exterior angles,
because {{{nE=360^o}}} is much easier to remember and use
than the unwieldy {{{nI=(n-2)180^o}}} .