Question 176604
Remember:

Supplementary angles are two angles with a {{{sum}}} of {{{180degrees}}}. 

Vertical angles are two angles whose sides form two pairs of {{{opposite}}}{{{ rays}}}. We can think of these as opposite angles {{{formed}}} by an {{{X}}}.

I assume {{{J}}} is a point where lines cross.

So, supplementary angles are: 
<{{{ZJK}}} and <{{{XJK}}},
<{{{ZJY}}} and <{{{XJY}}},
<{{{ZJW}}} and <{{{XJW}}},
<{{{KJW}}} and <{{{YJW}}}


Vertical angles are: 
<{{{ZJK}}} is vertical with  <{{{XJY}}},
<{{{XJK}}} is vertical with  <{{{ZJY}}},
 
In each case these pairs of angles form an {{{X}}}.