Final answer:
The question lacks sufficient information to solve for 'm'; more context or equations are required to find the value of 'm' when given algebraic expressions for angle measures.
Step-by-step explanation:
The question seems to be about finding the value of 'm' in a geometric or algebraic context, likely in a triangle with angles labeled in terms of 'x'. However, the question does not provide enough information or context to solve for 'm'. We typically need either a relationship between the angles or additional information about the figure to solve for 'm'. The given expressions '3x - 14' and '2x + 10' appear to be angle measures in algebraic form, possibly representing two angles of a triangle. If these are the only two angles given, and if we are dealing with a triangle, we can use the fact that the sum of angles in a triangle is 180 degrees to find 'x' and then solve for 'm'. Without further context or additional equations, it is impossible to provide a definitive answer.