Estelle drew two parallel lines PQ and RS intersected by a transversal KL, as shown below:
Which theorem could Estelle use to show the measure of angle KMQ is equal to the measure of angle RNL?

Alternate Exterior Angles Theorem

Alternate Interior Angles Theorem

Same-Side Interior Angles Theorem

Vertical Angles Theorem

Question

Estelle drew two parallel lines PQ and RS intersected by a transversal KL, as shown below:
Which theorem could Estelle use to show the measure of angle KMQ is equal to the measure of angle RNL?

 Alternate Exterior Angles Theorem 

 Alternate Interior Angles Theorem

 Same-Side Interior Angles Theorem 

Vertical Angles Theorem

ttp · Answer

attachment

ttp · Answer

@mathstudent55

mathstudent55 · Answer

You need to find what positions those two angle are in.

mathstudent55 · Answer

Angles 1, 2, 3, and 4 are interior angles because they are "inside" the two lines.
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mathstudent55 · Answer

Angles 5, 6, 7, and 8 are exterior angles because they are "outside" the two lines.
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mathstudent55 · Answer

Look at the two angles, KMQ and RNL, in your problem.
Are the interior angles or exterior angles?

mathstudent55 · Answer

Are you still there?

ttp · Answer

yes openstudy went crazy on me!

ttp · Answer

@mathstudent55

mathstudent55 · Answer

I know. It happens to me too.

mathstudent55 · Answer

Look at my explanations above of interior and exterior angles.
Then answer the question I asked above.

ttp · Answer

exterior angles? @mathstudent55

ttp · Answer

@mathstudent55 so a?

mathstudent55 · Answer

Yes. Angles KMQ and RNL are exterior angles since they are "outside" the two parallel lines.
Also, since the two angles are on different sides of the transversal, on alternate sides of the transversal, they are alternate exterior angles.

mathstudent55 · Answer

Correct. Answer is A.