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?
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 consecutive interior angles PRL and LRS are equal.

Answer 1

Those angles are corresponding angles.

Answer 2

I know that, but I still don't get it.

Answer 3

Is angle KRQ congurent to angle PSN?

Answer 4

Yes?

Answer 5

Why?

Answer 6

Alternate interior angles?

Answer 7

yep

Answer 8

So its the first one?

Answer 9

Is angle PSN congruent to angle MSQ?

Answer 10

No?

Answer 11

Vertical angles are congruent.

Answer 12

Oh yeah. Oops. is it the first one?