Answer:
Angle Pair: Vertical
X= 7
Explanation:
These two angles are vertical, since they are directly across from each other. This means that both angles are equal to each other, which is important for solving for x.
Lets set up the equation:
12x-7=6x+35
We need to try and sort the x's from the rest of the numbers and try to get x by itself. To do this we have to move things around. I'll move the -7 to the other side by adding 7 to BOTH sides of the equation
12x-7=6x+35
+7 +7
12x=6x +42
I'm going to move the 6x in the same way, subtracting from both sides (we do the opposite to cancel out the number on the original side)
12x=6x+42
-6x -6x
6x=42
Now we can simplify by dividing by 6 on both sides
6x=42
/6 /6
x= 7
And there's your answer! I hope this helps :)