Final answer:
The conclusion is that angles ∠1 and ∠2 are congruent, meaning they have equal measures. Complementary, supplementary, and adjacent describe different relationships between angles that aren't applicable here based solely on the information of congruence. Therefore, the correct answer is option c. ∠1 and ∠2 are congruent, which confirms that their measures are identical.
Step-by-step explanation:
If ∠1 ≅ ∠2, the conclusion that can be made is that ∠1 and ∠2 are congruent. This means that the angles have the exact same measure. The symbols and abbreviations stand for the following: "≅" signifies congruence, which in the context of angles means having the same angle measurement.
This is different from the concepts of complementary angles, which sum up to 90 degrees, or supplementary angles, which sum up to 180 degrees. Adjacent angles, on the other hand, are angles that share a common side and a common vertex, but we do not have enough information to determine if ∠1 and ∠2 are adjacent.
Two angles are complementary if the sum of their measures is exactly 90 degrees. Congruency of angles does not imply that the angles are complementary, since congruent angles could have any measure, not necessarily summing up to 90 degrees.
Therefore, this conclusion cannot be made based upon the given information alone. b. ∠1 and ∠2 are supplementary. Two angles are supplementary if the sum of their measures is exactly 180 degrees. Similar to the complementary case, congruency does not imply that angles are supplementary.
Any pair of congruent angles might not sum up to 180 degrees unless it is specifically known that each angle measures 90 degrees.
Therefore, the correct answer is option c. ∠1 and ∠2 are congruent, which confirms that their measures are identical.