Final answer:
In a regular hexagon, each angle has the same measure. The sum of the angles in a hexagon is equal to 6 times 180 degrees. Therefore, we can determine the value of w by dividing the sum by 6.
Step-by-step explanation:
In a regular hexagon, each angle has the same measure. Let's denote the measure of each angle as x. We know that the sum of the angles in a hexagon is equal to 6 * 180 degrees, since a hexagon has 6 sides and each side contributes an angle of 180 degrees. Therefore, we can form the equation: 6x = 6 * 180.
Simplifying the equation, we have: 6x = 1080. Dividing both sides by 6, we get: x = 180/6 = 30. So, each angle of the regular hexagon measures 30 degrees.