Answer:
Explanation:
I can't read the diagram well enough to tell you how exactly this should be done and I've been reprimanded a couple of times for using comments to solve problems, but this much I can tell you.
You need 2 angles
One comes from vertical angles being equal.
the other comes from the other end of the line that is bisected. Be careful to chose this angel. The two angles are equal because the lines are parallel.
Now what you have is ASA which always proves congruency. AAS should never be used if you can avoid it. If you search out AAS on the internet you will find long discussions on why AAS should never be used.
In this case it will work but even if it does, it should be avoided because you may run into questions where there are conditions that make AAS incorrect. Even if you are told it is OK in your lessons, you should not do it.
lecture ends.
Sorry.