Answer:
x = 7
Explanation:
The angles (6x - 7) and (4x + 7) are the vertical angles.
The vertical angles are congruent, therefore have the same measure.
We have equation:
6x - 7 = 4x + 7 subtract 4x from both sides
6x - 2x - 7 = 4x - 2x + 7
2x - 7 = 7 add 7 to both sides
2x - 7 + 7 = 7 + 7
2x = 14 divide both sides by 2
2x : 2 = 14 : 2
x = 7