03babyj
03babyj 03babyj
  • 24-05-2019
  • Mathematics
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What is the value of x if line a is parallel to line b and is cut by a transversal?

What is the value of x if line a is parallel to line b and is cut by a transversal class=

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wegnerkolmp2741o
wegnerkolmp2741o wegnerkolmp2741o
  • 24-05-2019

Answer:

x=35

Step-by-step explanation:

The angles are alternate interior angles.  Alternate interior angles are equal if the lines are parallel.

3x+16 = 5x-54

Subtract 3x from each side

3x -3x+16 = 5x-3x-54

16 = 2x-54

Add 54 to each side

16+54 = 2x-54+54

70 = 2x

Divide each side by 2

70/2 = 2x/2

35 =x

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