Question

What is the value of x 15 points

Answer 1

4x+ 20 = 3x + 55 (vertical angles)

4x - 3x = 55 - 20

        x = 35

Answer 2

The two lines don't change direction when they intersect, so that means the two angle measures are equivalent.

You could write $4x + 20 = 3x + 55$.

To make this easier, you can move the numbers with variables to one side of the equation, and the numbers without variables to the other. Know that when a number is moved to the other side, it becomes the opposite of what it currently is.

$4x + 20 = 3x + 55$

--> $4x - 3x + 20 = 55$

---> $4x - 3x = 55 - 20$

----> $x = 35$

The value of x is 35.