Find the value of each variable and the measure of each angle.

Answer:
x = 14
Step-by-step explanation:
The angles with the measures (x+12) and (3x-16) are vertical, which makes their measures equal.
x+12 = 3x-16
On both sides, subtract 3x and subtract 12 to get this.
-2x = -28
Divide by -2.
x = 14