Question

What is the value of x?

Answer 1

`x = 40°`

Explanation:

The two angles shown are vertical angles and thus, by their definition, they are equal to each other. Therefore, we can write

`3x = 2x + 40`

We can move the 2x term to the left side by adding
`-2x` to both sides of the equation:

`3x - 2x = 2x - 2x + 40`

which will then give us

`x = 40°`