Drawing Inferences from Givens, Common Core Geometry Homework. #3 and #4

Answer:
(1) m∠ABD = m∠CBD
Explanation:
We know that BD is the median of the triangle. It means that BD divides the side AC into two equal parts, so we can make the following conclusions:
AD = DC
D is the midpoint of AC
AD + DC = AC
Therefore, the answer is:
(1) m∠ABD = m∠CBD