Given that r || s and q is a transversal, we know that
∠3 ≅ ∠6 by the . therefore, m∠3 = m∠6 by the definition of congruent. we also know that, by definition, ∠4 and ∠3 are a linear pair, so they are supplementary by the linear pair postulate. by the definition of supplementary angles, m∠4 + m∠3 = 180°. using substitution, we can replace m∠3 with m∠6 to get m∠4 + m∠6 = 180°. therefore, by the definition of supplementary angles, ∠4 is supplementary to ∠6.
answer choices:
a) corresponding angles theorem
b) alternate interior angles theorem
c) vertical angles theorem
d) alternate exterior angles theorem

Alternate interior angles theorem Is your answer.

Step-by-step explanation:

to plot points   for x just start at the origin (middle) and go to the left however many times it say(if the number is a positive) if the number is a negative then go right however many times it says if it is 0 go nowhere

now keep you pencil there and go up however many times it says on y(if it is positive) if it is negative then go down however many times it says. if it says 0 go nowhere.

you have just plotted a point! now when you finish plotting all of them connect them with a ruler

plot each point as (-3, 7), (0,4), (3,1), (8,-4)   in the parenthesis on the left of the comma is x and the right is y.