What is the value of x?

The value of x is 40.

Step-by-step explanation:

These are vertical angles meaning that these are both the same angle. We can express this into an equation. (3x - 6) = 114, usually with an equation like this we add the 6 from (3x - 6) and also add it to 114 because whatever you do to one side of the equation you have to do to the other. Because we added 6 to (3x - 6) the 6 from there is gone and since we added 6 to 114 it is now 120 so now the equation is 3x = 120. Now we divide each side me 3 to get the value of x. 3x divided by 3 is x. 120 divided by 3 is 40. So now our equation looks like this, x=40. So this is how the value of x is 40. Let me know if it's right!!

ruth is 6 years old

step-by-step explanation:

6 + 24 = 30,   so 6/30 = .2  

if you do 1/5 it also equals .2, so that is the answer.