Find the value of x for which p ll q.

Answer:
x = 9
Step-by-step explanation:
If p and q are parallel lines then the two angles are alternate interior angles and are equal
9x +8 = 15x - 46
Subtract 9x from each side
9x-9x +8 = 15x -9x - 46
8 = 6x - 46
Add 46 to each side
54 = 6x
Divide by 6
54/6 = 6x/6
9 =x
Answer:
Explanation:
This is because you have to first make the equations equal to each other. You do this because you can see that the angles are equal to each other meaning that they are the same amount of degrees. So the equation you will have is (9x + 8) = (15x - 46).
You can take off the parenthesis.
Subtract 8 from both sides.
This will lead to
Then you have to subtract 15x from both sides.
This will have a result of
When you do this you can see that there are 2 negatives. You can cancel these out. So it will look like
Finally, you have to simplify. Divide both sides by 6.
The final result is
Hope this helped