Final answer:
Without additional information, the measurement of ∆N cannot be determined based on ∆L = 105° alone. However, if they are supplementary angles, ∆N would be 75°.
Step-by-step explanation:
The question appears to be related to the measurement of angles, specifically asking what the measurement of ∆N is if ∆L = 105°. To find the measurement of ∆N, we need additional information that relates ∆L to ∆N. Without further context or a given relationship between ∆L and ∆N, such as being supplementary or complementary angles, or part of a geometric figure with known properties, we cannot determine the measurement of ∆N.
However, if ∆L and ∆N are supplementary, meaning that they add up to 180°, then we can calculate ∆N by subtracting ∆L from 180°: ∆N = 180° - ∆L = 180° - 105° = 75°.
If they are complementary, adding up to 90°, ∆N would be: ∆N = 90° - ∆L = 90° - 105°, but this is not possible since ∆L is already greater than 90°. Therefore, based on the options provided and assuming a supplementary relationship, the most likely answer is 75°, which corresponds to option A.