solve for x
An explanation would be helpful.

The two angles are vertical angles so that means they must be equal to each other. Make them equal to each other in an equation.
(2 + 3x) = 62
Subtract 2 from both sides.
3x = 60
Divide both sides by 3.
x = 20
The angles are vertical angles. Vertical angles measure the same. That means:
[tex] 2 + 3x = 62 [/tex]
Switch it around and it becomes:
[tex] 62 - 2 = 3x [/tex]
The sign changes. At first you were adding, and now you're subtracting. Subtract:
[tex] 62 - 2 = 60 \\ 3x = 60 [/tex]
Divide both sides by 3 to leave the variable alone:
[tex] 60 \div 3 = 20 \\ 3x \div 3 = x [/tex]
That means x = 20°