Final answer:
Without sufficient information or a specific diagram, it is not possible to determine the measure of ∆ABD from the given options.
Step-by-step explanation:
The provided information does not contain enough context or a specific diagram to accurately determine the measure of ∆ABD. However, the typical approach to finding an angle measure would involve using geometric principles such as the sum of angles in a triangle, angle relationships (complementary, supplementary, vertical angles, etc.), or other geometric theorems depending on the configuration of the given diagram or scenario.
In general, if ∆ABD is part of a triangle, then the sum of all angles in that triangle must be 180°. If ∆ABD forms a linear pair with another angle, then ∆ABD and that angle must add up to 180°. Without more information, it's impossible to give a definitive answer from the provided options of 27°, 54°, 114°, and 124°.