Final answer:
The question discusses a hexagon where any two angles are consecutive and four are congruent. The sum of internal angles in a hexagon is always 720 degrees, and by knowing the measure of the congruent angles, one could calculate the remaining angles.
Step-by-step explanation:
The question relates to the properties of a hexagon, specifically regarding the angles within one. In a hexagon, there are six sides and six internal angles. If any two angles of a hexagon are consecutive (adjacent), and four are congruent (equal in measure), then these properties can help determine the measures of all angles in the hexagon.
A regular hexagon has all its angles equal, and the sum of the internal angles of any hexagon is 720 degrees since it can be divided into four triangles, each of which has angle sum of 180 degrees. However, the condition provided suggests that the hexagon in question might not be regular since it is not specified that all angles are congruent. Given this, if four of the hexagon's angles are congruent, and we know the values of these angles or have enough information to determine them, we could calculate the measures of the two remaining angles by subtracting the sum of the four congruent angles from 720 degrees. The consecutive nature of any two angles doesn't provide additional information without knowing their measure or the relationship between them.