Question

Eck Help plz boss

Answer 1

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

Answer 2

Which theorem could Kari use to show the measure of angle QML is supplementary to the measure of angle SNK?

Alternate Exterior Angles Theorem
Alternate Interior Angles Theorem
Same-Side Interior Angles Theorem
Vertical Angles Theorem

Answer 3

@Shadow Do you know how to solve this?

Answer 4

Supplementary angles are angle that equal to 180 degrees. When two angles that lie on the same side in a transversal they will be supplementary. This is known as \(\bf{Same~Side~Interior~Angles~Theorem}\).

Answer 5

Jesus I leave for two minutes

Answer 6

We know that it isn't the first two, since angle QML and angle SNK are not alternates of each other. They are, however, on the same side. If we look at Same-Side Interior Angles Theorem it says this basically

Answer 7

180 degrees = Supplementary

Answer 8

Ok

Answer 9

So is it Verical?

Answer 10

Hello!

The fact that alternate interior angles MNR and QMN are congruent to each other and vertical angles SNL and MNR are congruent to each other would help Kari prove that the measure of angle QMN is equal to the measure of angle SNL

Answer 11

I freaking hate math

Answer 12

XD

Answer 13

So its same side interior angles theorem?

Answer 14

Thats what Im getting from this

Answer 15

Look at the file I attached, the rule it depicts, and at your angles, and what the question is asking.

Answer 16

Oh I didnt even see it lemme look

Answer 17

add up to 180?

Answer 18

Yes, it proves that they are supplementary.

Answer 19

Hm

Answer 20

D?