The measure of 2 = 5x + 35 and the measure of 7 = 8x - 25. What value of x will show that lines f and g are parallel?

A.

30

B.

13

C.

20

D.

6

Angles 2 and 6 have the same measurements. To find the value of "x", we can write and solve an equation. Set it up like this:6x + 8 = 8x - 6Subtract 8x from both sides to get - 2x + 8 = - 6. Subtract 8 from both sides to get - 2x = - 14. Now, divide each side by - 2 to isolate the "x". Because you are dividing a negative by a negative, your quotient will be positive. - 14/-2 is 7. Let's plug in this value and see if it works. 6 * 7 is 42. 42 + 8 is 50. 8 * 7 is 56. 56 - 6 is 50. 50 = 50. The answer is x = 6.