Final answer:
The question about the measures of angles 21 and 22 cannot be answered with the provided context, as the snippets given do not offer a clear problem statement or enough information to calculate or deduce these measures.
Step-by-step explanation:
The measures of angles 21 and 22 are given in the context of the associated text, which seems to relate to geometric or physical principles. However, the provided snippets are disjointed and do not give a coherent scenario or formula that directly leads to the measurement of these angles. Angles in mathematics are often calculated based on geometrical properties, trigonometric relationships, vector operations, or physical representations such as displacement vectors.
Given the phrase 'dimensionally consistent 21', it may suggest that angle 21 maintains a consistent measure across different dimensions or contexts, but without more context, it's not clear how this applies to the exact measurement of the angle. 'Dimensionless 21' might imply that angle 21 is also considered in a dimensionless context, possibly in theoretical physics or engineering scenarios. These snippets alone are not sufficient to provide a measure for angles 21 and 22.
Therefore, to answer the question accurately, more specific information or a clear problem statement is necessary. The information should ideally include relationships or equations that could be used to find the measures of the requested angles.