Answer:
Based on the current information, the last man remaining unmarried will be a choice between two
Jason marries Anna
Matt marries Elizabeth
Kevin marries Barbara
Larry marries Diane
Carol can marry either Nick or Oscar
Step-by-step explanation:
The basic method to sort which woman will be marrying which man is simple.
We have to extract the choice by comparing choices of each woman side by side and then selecting the least common one and hence sorting one by one.
First, let's name all the women and men
1. Anna
2. Barbara
3. Carol
4. Diane
5. Elizabeth
We will refer to them with the initial letter of their name . A for Anna, B for Barbara, C for Carol, D for Diane, E for Elizabeth.
The men :
1. Jason
2. Larry
3. Matt
4. Kevin
5. Oscar
6. Nick
And they will be referred as J for Jason, L for Larry, M for Matt, K for Kevin, O for Oscar and N for Nick.
Options for A : J , L ,M
Options for B : K, L
Options for C : J, N , O
Options for D : J, L , N , O
Options for E : J, M
As we can see , no one else wants Kevin other than Barbara so :
Kevin marries Barbara
Moving onwards:
Elizabeth can marry either Jason or Matt,
Meanwhile Anna can marry either Jason , Larry or Matt
Hence,
Matt marries Eilzabeth
as Anna has two more choices still which are Jason and Larry.
Further, seeing the options for Carol and Diane
Carol can marry either Jason, Nick or Oscar while Diane can marry Larry as well as Jason , Nick and Oscar
We can select Jason as the match for Anna as Larry is also a choice for Diane.
Hence, Jason marries Anna
Now we are left with Larry , Nick and Oscar.
Since Carol can only decide from Nick and Oscar but Diane can decide from Larry, Nick and Oscar. Larry is the ideal option for Diane
so, Larry marries Diane
Now in the end, Carol can either choose between Nick or Oscar.
If she chooses Nick to marry, Oscar is left single
If she chooses Oscar to marry, Nick is left single.
is a supplement of 
and 
is a supplement of 
. 
, 
because the supplement of the congruent angles are congruent.