Since ray AC bisects ∠A, it splits the angle into two equal parts. Given that m∠BAD is 46 degrees, we can find m∠BAC by dividing m∠BAD by 2.
m∠BAC = m∠BAD / 2 = 46 degrees / 2 = 23 degrees.
Therefore, the correct response is:
The m∠BAC is 23 degrees.