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ArbitrLikvidat [17]
3 years ago
5

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

Mathematics
2 answers:
Reil [10]3 years ago
8 0

Answer:

Vertical angles MSQ and RSN are equal, and alternate interior angles KRS and RSN are equal.

Step-by-step explanation:

gregori [183]3 years ago
7 0

Answer:

C.Vertical angles MSQ and RSN are equal, and alternate interior angles KRS and RSN are equal

Step-by-step explanation:

We are given that

KL and MN are parallel lines and transversal line PQ intersect the line KL at R and MN at S.

We have to find the fact which would help Maria prove the measure of angle KRQ is equal to the measure of angle MSQ.

\angle MSQ=\angle RSN

Reason: vertical angles are equal

\angle RSN=\angle KRS

Reason: Alternate interior angles are equal

Therefore,\angle MSQ=\angle KRS=\angle KRQ

Hence, option C is true.

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