Question

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

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

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

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

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

d)Vertical angles LRS and KRP are equal, and consecutive interior angles PRL and LRS are equal.