can someoe plz help will fan and medal!!!!!!

Question

anonymous · Answer

need help asap!! some one plzz im not trying to chear

mathstudent55 · Answer

Here are intersecting lines m and n.
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anonymous · Answer

I think they are called vertical angles right? Angles opposite each other?

mathstudent55 · Answer

What is the name given to angles such as 1 and 2 in the figure below?
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mathstudent55 · Answer

@ArkGoLucky already answered. They are called vertical angles.
There is a theorem that states that vertical angles are congruent.

anonymous · Answer

the vertical angle psotulate

mathstudent55 · Answer

It's a theorem that can be proved.

mathstudent55 · Answer

This is what you need for part a.

mathstudent55 · Answer

Once you know those angles are congruent from part a., now you can answer part b.

anonymous · Answer

yes i know i kinda have that part done but im talking about part b

mathstudent55 · Answer

You are proving two triangles congruent.
Which parts of one triangle are known to be congruent to parts of the other triangle?

anonymous · Answer

wait so part a is this 
angles jkn and angles lkm are congruent because vertical angles are congruent??

mathstudent55 · Answer

Yes, you are correct for part a.
Now I'm showing you part b below.
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mathstudent55 · Answer

Above, you see one side of one triangle and the corresponding side of the other triangle.
These sides are congruent. A side is S.

anonymous · Answer

ok

mathstudent55 · Answer

Then you have from part a., an angle of one triangle and an angle of the other triangle. The angles are congruent. An angle is A.
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mathstudent55 · Answer

Finally, you have another side of one triangle congruent to a corresponding side of the other triangle. A side again is S.
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