angle theorems help?

http://prntscr.com/8r2ljg

Which theorem could Chelsea use to show the measure of angle KRP is equal to the measure of angle QRL?

Alternate Exterior Angles Theorem
Alternate Interior Angles Theorem
Same-Side Interior Angles Theorem
Vertical Angles Theorem

This confuses me because, based on what my teacher taught me today, the angles look to be corresponding angles? They don't match with the other choices based on my research?

Question

angle theorems help? 

http://prntscr.com/8r2ljg

Which theorem could Chelsea use to show the measure of angle KRP is equal to the measure of angle QRL?

 Alternate Exterior Angles Theorem
 Alternate Interior Angles Theorem
 Same-Side Interior Angles Theorem
 Vertical Angles Theorem

This confuses me because, based on what my teacher taught me today, the angles look to be corresponding angles? They don't match with the  other choices based on my research?

directrix · Answer

Would you check and see if you posted the letters of the angles correctly?

 angle KRP is equal to the measure of angle QRL?

leahhhmorgannn · Answer

It is correct. I copied it exactly.

jim_thompson5910 · Answer

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jim_thompson5910 · Answer

|dw:1444789829439:dw|

jim_thompson5910 · Answer

|dw:1444789865678:dw|

directrix · Answer

These angles are not specialty angles associated with parallel lines.  @leahhhmorgannn

directrix · Answer

Do you recognize what the name given to a pair of such angles is?

leahhhmorgannn · Answer

Those ones you drew? They look to be vertical angles.

directrix · Answer

Yes, they are. 

Check and see if you agree that I drew the angles correctly:

 angle KRP is equal to the measure of angle QRL

leahhhmorgannn · Answer

I would agree with that, yes.

directrix · Answer

Then, you can select the correct answer option, I think.

The angle that corresponds angle KRP is shown here: <RSM

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