Answer:
B
Step-by-step explanation:
I hope this helped!
 
        
                    
             
        
        
        
<u>Given</u>:
The given figure shows the intersection of the two lines.
The angles formed by the intersection of the two lines are (3x - 8)° and (2x + 12)°
We need to determine the equation to solve for x and to find the value of x.
<u>Equation to solve for x:</u>
Since, the two angles (3x - 8)° and (2x + 12)° are vertically opposite angles and the vertical angles are always equal.
Hence, we have;

Thus, the equation to solve for x is 
<u>Value of x:</u>
The value of x can be determined by solving the equation 
Thus, we have;

      
Thus, the value of x is 20.
 
        
             
        
        
        
Answer:
See it in the pic.
Step-by-step explanation:
See it in the pic.
 
        
             
        
        
        
3x+3=90
subtract 3 from both sides
3x=87
divide both sides by 3
x=29
To find IJ, plug in the x value
x+8+x-9
29+8+29-9
57=IJ