Final answer:
The measure of each angle is 78 degrees.
Step-by-step explanation:
To find the measure of each angle, we use the fact that vertically opposite angles are equal. Let's assume one of the angles is x degrees. Since the sum of two vertically opposite angles is 156 degrees, the other angle is also x degrees. Therefore, we have the equation x + x = 156. Simplifying this equation, we get 2x = 156, and dividing both sides by 2, we find that each angle measures x = 78 degrees.
Learn more about Vertically Opposite Angles