Question

Solve for xAn explanation would be helpful.

Answer 1

The angles are vertical angles. Vertical angles measure the same. That means:

$2 + 3x = 62$

Switch it around and it becomes:

$62 - 2 = 3x$

The sign changes. At first you were adding, and now you're subtracting. Subtract:

$62 - 2 = 60 \\ 3x = 60$

Divide both sides by 3 to leave the variable alone:

$60 \div 3 = 20 \\ 3x \div 3 = x$

That means x = 20°

Answer 2

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