[tex]x = 40°[/tex]
Step-by-step explanation:
The two angles shown are vertical angles and thus, by their definition, they are equal to each other. Therefore, we can write
[tex]3x = 2x + 40[/tex]
We can move the 2x term to the left side by adding [tex]-2x[/tex] to both sides of the equation:
[tex]3x - 2x = 2x - 2x + 40[/tex]
which will then give us
[tex]x = 40°[/tex]
