Final answer:
The question involves geometry and the properties of congruent triangles' angles, but lacks the necessary context or a clear figure to provide accurate angle measurements. Normally, congruent triangles have angles with the same measures at corresponding positions.
Step-by-step explanation:
The question provided seems to be part of a high school Mathematics subject, specifically geometry, concerning congruent triangles and the properties of angles. However, the values given in the question (such as 30.1°, 48.7°, etc.) do not correlate properly with the initial statement of the problem stating the congruence of ∆ABD and ∆CBD. Further context or a clear figure of the problem may be necessary to offer a valid solution. With congruent triangles, angles that are in the same relative position (also known as corresponding angles) are equal in measure. Since ∆ABD is congruent to ∆CBD, then:
- ∠ABD is equal in measure to ∠CBD.
- ∠CBD is equal in measure to ∠ABD.
- ∠ADB is equal in measure to ∠CDB.
- ∠CDB is equal in measure to ∠ADB.
To find each value of the angles we would use the fact that the total sum of angles in a triangle is 180 degrees, yet the given measurements in the question seem to be listed without full explanatory context, rendering the solution uncertain without additional information.