Final answer:
AED and DEC are adjacent angles, sharing a common side, but without additional information, their specific nature (vertical, supplementary, or right angles) cannot be determined.
Step-by-step explanation:
To determine the relationship between angles AED and DEC, we can consider the geometric properties associated with the given angles.
Given that AED and DEC are two angles, let's analyze each option:
A. Vertical angles are formed by intersecting lines, and they are always congruent. If AED and DEC are vertical angles, then they are congruent. Therefore, option A is a possible relationship.
B. Supplementary angles add up to 180 degrees. If AED and DEC are supplementary, then the sum of their measures is 180 degrees. This may be true if AED and DEC form a straight line.
C. Right angles measure 90 degrees. If AED and DEC are right angles, then each angle measures 90 degrees.
D. Adjacent angles share a common arm and a common vertex but do not overlap. If AED and DEC are adjacent angles, they share a common side or ray.
To determine the correct relationships, we need more information about the specific geometric configuration or the context in which these angles are presented. Without additional details, it is challenging to definitively select the correct options. If you have additional information or if there is a specific geometric configuration, please provide it for a more accurate analysis.