Given: m ∠3 = m ∠4 to prove: ∠1, ∠2 are supplementary

Statement                                           Reason

1) m<3 = m<4  :                                    (Given).

2) <2 and <3 are supplementary :     (Linear pair).

3) m<2 + m<3. =180. :                          Definition of supplementary angles.

4) m<2 + m<4. = 180. :                         Substitution.

5) m<1 = m<4. :                                    Opposite angles equal.

6) m<2 + m<1 = 180. :                          Substitution.

7) <1, <2 are supplementary :       Definition of consecutive exterior angles.

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.

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.