Answer:
[tex]x=19[/tex]
Step-by-step explanation:
We have been given a diagram of two intersecting lines. We are asked to find the value of x.
We know that measure of two vertical angles is always equal.
We can see that angle [tex]3x-3[/tex] and [tex]6(x-10)[/tex] are vertical angles, so we will equate measure of both angles and solve for x as:
[tex]6(x-10)=3x-3[/tex]
[tex]6\cdot x-6\cdot 10=3x-3[/tex]
[tex]6x-60=3x-3[/tex]
[tex]6x-60+60=3x-3+60[/tex]
[tex]6x=3x+57[/tex]
[tex]6x-3x=3x-3x+57[/tex]
[tex]3x=57[/tex]
[tex]\frac{3x}{3}=\frac{57}{3}[/tex]
[tex]x=19[/tex]
Therefore, the value of x is 19.
