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

Which fact would help Kari prove that the measure of angle QMN is equal to the measure of angle SNL?
a. Interior angles MNR and PMN are congruent to each other, and vertical angles SNL and MNR are congruent to each other.
b. Alternate interior angles MNR and QMN are congruent to each other, and vertical angles SNL and MNR are congruent to each other.
c. Alternate interior angles MNS and PMN are supplementary and vertical angles SNK and RNL are congruent to each other.
d. Interior angles MNR and PMN are supplementary and consecutive angles SNL and MNS are congruent to each other.

Kari drew two parallel lines PQ and RS intersected by a transversal KL as shown below Which fact would help Kari prove that the measure of angle QMN is equal to class=

Respuesta :

(b)

∠MNR = ∠QMN ( alternate angles ) and

∠MNR = ∠SNL ( vertical angles )

hence ∠QMN = ∠SNL




calculista

Answer:

The answer is the option B

Alternate interior angles MNR and QMN are congruent to each other, and vertical angles SNL and MNR are congruent to each other

Step-by-step explanation:

we know that

In the figure shown

If the lines PQ and RS are parallel

then

[tex]m<MNR=m<QMN[/tex] -----> by alternate interior angles

and

[tex]m<SNL=m<MNR[/tex] -----> by vertical angles angles

therefore

[tex]m<SNL=m<QMN[/tex]

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