Final answer:
The problem lacks the necessary context or information to find the measure of the angle. Additional details such as equations or relationships between the angles are needed to solve the problem correctly.
Step-by-step explanation:
The question appears to be missing the full context of the problem, and as a result, it cannot be solved as presented.
Normally, in a mathematics problem that asks to find the measure of an angle given expressions like 14x and 315x + 9,
we would expect either an equation equating these expressions to each other or to another known angle measure, or
additional information indicating the relationship between the angles (such as if they form a linear pair, are part of a
triangle, and so on).
Without this information, it is not possible to determine the measure of the angle in question.
Please review the problem to provide the complete details or any missing relations or values.