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




Which fact would help Maria prove the measure of angle KRQ is equal to the measure of angle MSQ?

Alternate interior angles KRS and RSN are equal, and consecutive angles KRS and KRP are complementary.

Alternate interior angles LRS and RSN are equal, and vertical angles RSN and MSQ are supplementary.

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

Vertical angles LRS and KRP are equal, and same-side, consecutive interior angles PRL and LRS are equal.

Respuesta :

lublana

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.

[tex]\angle MSQ=\angle RSN[/tex]

Reason: vertical angles are equal

[tex]\angle RSN=\angle KRS[/tex]

Reason: Alternate interior angles are equal

Therefore,[tex]\angle MSQ=\angle KRS=\angle KRQ[/tex]

Hence, option C is true.

Ver imagen lublana

Answer:

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

Step-by-step explanation:

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