The image below shows two parallel lines cut by a transversal. what is the value of x?

Here given two parallel lines cut by a transversal, so the given two angles are alternate interior angles.

We know that alternate interior angles are equal.

So we can find x by equating the two angles.

Now to solve for x, we will move -10 to the right side. To get rid of -10 and to move it to right side we will add 10 to both sides.

Now we will move 4x to the left side by subtracting it from both sides.

We have got the required value of x.

The value of x = 20.

none of the above.

for one of the equations to be used in the process, there has to be a term in the equation since squared is .

since there is only a term in the first equation, we cannot derive a from completing the square.

solving with completing the square