Question

**PLEASE ANSWER FAST**

∠A and ∠B are vertical angles. If m ∠A=(4x+6)° and m ∠B=(2x+18)°, then find the value of x.

Answer 1

x = 6

Explanation:

You want the value of x if the expressions (4x+6)° and (2x+18)° represent the measures of vertical angles.

Vertical angles

Vertical angles have the same measure, so these expressions are equal to each other:

4x +6 = 2x +18

2x = 12 . . . . . . . . . . subtract 2x+6 from both sides

x = 6 . . . . . . . . divide by 2

__

Additional comment

The angles are each 30°.