Hey there,
Your question/statement states: <span>Angle </span>

<span> is the complement of angle </span>

<span>, and angle </span>

<span> is the supplement of angle </span>

<span>. what is the difference between the measures of angle </span>

<span> and angle </span>

There is not difference between angle

and

The reason why would be because they both are congruent to angel

. If they are both congruent to that angel, then they are both the same shape. One thing that could be the problem is that they may be a different size. Yes they can be a same shape, but there size if different. But, based on what the little excerpt above, I believe that both

are the same.
Hope this helps.
~Jurgen