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Maria drew two parallel lines KL and MN intersected by a transversal PQ, as shown below:

Two parallel lines KL and MN with PQ as a transversal intersecting KL at point R and MN at point S. Angle KRS is shown congruent to angle MSQ.

Which theorem could Maria use to show the measure of angle KRQ is equal to the measure of angle PSN?

Alternate Exterior Angles Theorem

Alternate Interior Angles Theorem

Same0Side Interior Angles Theorem

Vertical Angles Theorem

Verified Answer :

Same side interior because they are on the same side as the bisector and they are both interior angles. (:

lublana

Answer:

Alternate interior Angles Theorem

Step-by-step explanation:

We are given that Maria drew two parallel lines KL and MN intersected by a transversal PQ.

Transversal PQ intersect KL at point R and MN at S.

\(\angle KRS\cong \angle MSQ\) Given

We have to find that which theorem could be used to show the measure of angle KRQ is equal to the measure of angle PSN.

\(\angle KRQ=\angle PSN\)

Reason: Alternate interior angles theorem

Answer: Alternate interior Angles Theorem

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