Can any of y’all help me with this? Please give an explanation for the answer

x = 8

Step-by-step explanation:

For the lines to be parallel, then

The vertical angle to (6x + 2) is congruent to 6x + 2

Then 6x + 2 and 15x + 10 are same- side interior angles and supplementary, thus

6x + 2 + 15x + 10 = 180 , that is

21x + 12 = 180 ( subtract 12 from both sides )

21x = 168 ( divide both sides by 21 )

x = 8

x = 8

Step-by-step explanation:

If you know the vertical angle theorem you will know you need to add these two to get your answer.

Firstly you want to get 180 degrees in total. Now we set the equation.

(15x+10) + (6x + 2) = 180     - Set equation

15x + 10 + 6x + 2 = 180       - Get rid of parenthesis

21x + 12 = 180                      - Combine like terms

21x = 168               - Move 12 to the other side (substract 12 from both sides)

21x/21 = 168/21            - Divide both sides by 21

x = 8                                   - Simplify

I hope this helps. If I was right please mark me as brainliest.

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