Answer:
x = 19
Step-by-step explanation:
When two lines "cross" and intersect, it creates 2 pair of vertical angles.
The opposite angles are vertical angles and they are equal.
Given two angles (in expressions), they are vertical angles and hence are equal in measure. So we can write:
[tex]6x-48=4x-10[/tex]
Now, we can use algebra and solve for x:
[tex]6x-48=4x-10\\6x-4x=-10+48\\2x=38\\x=\frac{38}{2}\\x=19[/tex]
So,
x = 19
