DC = 10

What is the measure of angle ABD?

From what we can see here, ∠ABD can be anything from 0° to 360°.

To find the measure of angle ABD, we need more information about the given triangle or figure.

To find the measure of angle ABD, we need more information. The given value "DC = 10" does not provide any information about the angles in the problem. Please provide additional details about the angles or any other relevant information.