Answer:
[tex]x=12[/tex]
Step-by-step explanation:
First, note that the angles shown are vertical angles. In other words, the two equations are equivalent to each other.
Therefore, set the equations equal to each other and solve for x;
[tex]6x+7=8x-17[/tex]
Add 17 to both sides:
[tex]6x+24=8x[/tex]
Subtract 6x from both sides:
[tex]24=2x[/tex]
Divide both sides by 2:
[tex]x=12[/tex]
Therefore, the value of x is 12.
And we're done!
