Final answer:
The definition of congruence means that two angles are congruent if they have the same angle measurement. The correct answer is b)
Step-by-step explanation:
If angle d equals angle e, this implies that the two angles have the same measure in degrees and are identical in terms of their angle size. This means the correct answer is b) The angles are congruent. Congruence in geometry means that two figures or items are the exact same shape and size.
Congruence is a fundamental concept in geometry, building upon basic expectations that we might have, such as knowing the sum of angles in a triangle is always 180 degrees, recognizing that perpendicular lines form a 90-degree angle with each other, and understanding vector equality in the context of having the same direction and magnitude.
It is important to note that congruent angles or shapes can still be oriented differently in space. Options c) and d) from the question refer to complementary and supplementary angles, respectively, which are entirely different concepts, based on angle relationships rather than congruency.