Final answer:
The question cannot be answered with the provided information. To find the measure of angle <2, details such as the diagram mentioned or relationships with other angles are necessary.
Step-by-step explanation:
The student is asking to find the measure of angle <2 with provided answer choices. The information provided references various angles and equations, but does not directly relate to a specific diagram or provide a clear method to determine the measure of angle <2. Without additional context such as a diagram or the relationship between angles, it is not possible to confidently select an answer from the options provided (A) m<2 = 31 B) m<2 = 50 C) m<2 = 120 D) m<2 = 130.
If angle <2 is part of a geometric figure or it is related through specific angle properties or theorems with the angles mentioned in the scattered information (like supplementary angles, complementary angles, or angles in a triangle), one would calculate its measure by applying these properties or theorems accordingly. Part of the provided information may suggest computations regarding doubled angles or angle differences but without explicit relevance to a specific diagram, their application to angle <2 cannot be determined.