If the measure of angle 2 is 3x and the measure of angle 1 is 5x-12 then what is the measure of angle 9?

The measure of angle 9 is 108°.

Step-by-step explanation:

We are told that the measure of angles 3,4, 11, 12 are 67, 113, 67, 113 respectively, this means that the lines p and q are parallel.

Further, this means

angle 1  = angle 9 ,

angle 2 = angle 10.

We are also told that

Since angles 1 and 2 are supplementary, they add up to 180°:

so we have

With this value of x we find the numerical value of angle 1 :

since angle 1 = angle 9

333333333333333333333333333333

step-by-step explanation:

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18