Answer: Like the angles BAC (56°) and BDC has the same arc BC in the circumference, these angles must be congruent, then angle BDC must be equal to 56°.
The angle on the same segment is equal so, ∠BDC = ∠BAC = 56 degrees. Thus, both the measures are the same.
One of the theorems of a circle states that the angles in the same segments or on the same chord are equal.
It is given that the ∠BAC is 56 degrees.
From the figure, we can see that ∠BAC and ∠BDC are on the same segment.
We know that the angle on the same segment is equal.
hence, ∠BDC = ∠BAC = 56 degrees
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