Answer:
x=7
Explanation:
This problem uses vertical angles! I'm sure you know this but just in case I will explain. Whenever there are two angles that are across from each other in a junction of two straight lines, they are perfectly equal! In this problem, the angles 6x-7 and 4x+7 are the same angle, so those equations have to have the same answer. In order to solve it, you need to write the equations like this:
6x-7=4x+7
From there you can solve for x. I will write my process here:
2x-7=7
2x=14
x=7
Just writing those vertical angle equations as equalities of each other should give you the answers you are looking for!