please help me (geometry)

Answer:
x = 7
Step-by-step explanation:
When two parallel lines are cut by a transversal, the corresponding angles are equal.
8x +2 = 7x + 9
Subtract 2 from both sides
8x = 7x + 9 - 2
8x = 7x + 7
Subtract 7x from both sides
8x - 7x = 7
x = 7
Answer:
x=7
Step-by-step explanation:
The 2 given angles are vertical to each other, so that means they are equal to each other.
To solve, set up an equation:
[tex]7x+9=8x+2[/tex]
Solve by isolating the variable. [Subtract and divide]
[tex]7x=8x-7[/tex]
[tex]-x=-7[/tex]
Multiply both sides by -1 to get rid of the negative sign.
[tex]x=7[/tex]
I hope this helps!