Question

PLEASE HELP 30 POINTS!!!!!!

Answer 1

Answer:  " x = 8 " 
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By examining the image attached, we notice that:
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The 2 (two) particular angles with the following measurements:
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1)  4x - 2 ;  and: 

2)  3x + 6 ;  
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are equal; since they are "alternate interior angles" ; since the 2 (two) horizontal lines in the figure are parallel; and since alternate interior angles are equal in measurement.
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The question asks to solve for "x" ;

As such:

  4x - 2  =  3x + 6  ;

Solve for "x"  ; 

Subtract "3" from each side of the equation ; & add "2" to each side of the equation ; 


   4x - 2 =   3x  + 6  ;
  -3x +2 =  -3x  + 2  ;
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    1x     =            8  ;  
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   →  x = 8 .
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Now, we can check our answer:
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      " 4x - 2  =  3x + 6 " ;

  → Plug in "8" for "x" ; to see if both sides of the equation are equal ;

   4(8) - 2  =?  3(8) + 6 ??

  →  32 - 2 =?  24 +  6 ?? 

  →  30 = ? 30 ?  Yes!
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Answer 2

Placed them equal to each other.

3x + 6 = 4x - 2                 

6 (+2) = 4x (-3x)

8 = x

plug in x to both of the expressions


3(8) + 6 = 24 + 6 = 30
4(8) - 2 = 32 - 2 = 30  

True

x = 8

hope this helps


B is wrong, because you do not set them equal to 180 ( you set them equal to each other). Next, it is wrong, because they messed up the end too.

hope this helps