Two parallel lines are crossed by a transversal. Vertical and parallel lines h and i are cut by transversal g. At the intersection of lines h and g, the uppercase right angle is 70 degrees and the bottom left angle is x degrees. What is the value of x?

x = 70°

Step-by-step explanation:

There are two vertical and parallel lines h and i. Also, a transversal line g cuts across these parallel lines. The intersection of the transversal line and line h produces an upper right angle of 70° and bottom left angle of x°.

These angles x and 70 are vertically opposite angles, hence:

x = 70° (vertically opposite angles are equal to each other)

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