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Answer :
In geometry, supplementary angles are two angles that add up to 180 degrees. The pairs of angles listed can be explored as follows:
∠AEB and ∠DEA: If these two angles are on a straight line or form a straight angle together, they are supplementary. In this context, without more information on the positions or measurements of these angles, we can't definitively say whether they are supplementary.
∠ADE and ∠EDF: Similarly, for these angles to be supplementary, they would need to form a straight line.
∠EAD and ∠DAH: These would also need to form a straight angle or be adjacent such that their measures add up to 180 degrees.
∠AEB and ∠CED: These angles must also align in such a way that their total is 180 degrees, perhaps being opposite corners of a particular layout or pattern of lines.
To determine if specific angle pairs are supplementary without additional context, it would require information about whether they form linear pairs or specific angle measures are given.
Therefore, the choice is contingent upon particular geometric configurations or information like diagrams that show these angles on a straight line. Without diagrams or specific measures, it is not possible to definitively answer the question simply based on names of the angles.
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