Final answer:
Without further context indicating the relationship between m1 and m5, it's not possible to determine the measure of angle m5.
Step-by-step explanation:
To find the measure of m5, we need additional information about the relationship between m1 and m5. This could involve angles that are complementary, supplementary, vertical, or involve some sort of geometric figure like parallel lines cut by a transversal. Since no further context is provided, it's impossible to determine the measure of m5 solely based on the information that m1 is 89°.