Question

What is the value of x?

Answer 1

The value of
`x`:

`x = 20`

Explanation:

-Since, one angle with the measure
`x + 40` and another angle with measure
`3x` are vertical angles, they equal each other. So, it will be written as:

`x + 40 = 3x`

-After you have formed an equation, you switch the equation and you solve for the value of
`x`:

`x + 40 = 3x`

`x - x + 40 = 3x -x`

`40 = 2x`

`(40)/(2) = (2x)/(2)`

`20 = x`

So, the final answer is
`20 = x` or
`x = 20` (They are both the same, you just switch them).

Answer 2

x = 20

Explanation:

The angles are vertical angles and we know that vertical angles are equal

x+40 = 3x

Subtract x from each side

x+40-x = 3x-x

40 = 2x

Divide each side by 2

40/2 = 2x/2

20 =x