To determine the measure of angle BDC given that angle BAC measures 56 degrees, we first note the relationship between these angles within the geometrical figure they belong to. If we assume that points A, B, C, and D form specific angles, we can analyze the scenario based on the properties of angles in triangles or other geometric figures.
One common assumption is that angles BDC and BAC could be related through exterior or supplementary angles. If angle BAC and angle BDC were part of a triangle where one angle is exterior to the other, the measure of angle BDC can often be calculated as follows:
Angle BDC = 180 – Angle BAC. Hence, Angle BDC = 180 – 56 = 124 degrees.
However, since 124 degrees isn’t listed among your options (28, 34, 56, or 112), we need to make assumptions based on the provided options. Without a clear relationship or additional information on the configuration of points A, B, C, and D, it’s challenging to definitively conclude what the measure of angle BDC is.
Given the options provided, if angle BAC is 56 degrees and we’re looking for a possible angle that might be related to angle BDC within a different adjacent triangle or circumstance, we would analyze the remaining values. Among the options which might suggest an internal relationship to angle BAC, the angle BDC can actually be equal to angle BAC due to parallel lines or other geometric properties in various configurations.
Thus, the most logical answer from the provided options would be 56 degrees, suggesting that angle BDC might be congruent to angle BAC in some triangular arrangements. Hence, answer is:
56 degrees