Question

Anika constructed ray AC that bisected ∠A . If the m∠BAD is 46 degrees, what is the m∠BAC ? (1 point) Responses The m∠BAC is 23 degrees. The m angle upper B upper A upper C is 23 degrees. The m∠BAC=m∠DAC. The m angle upper B upper A upper C equals m angle upper D upper A upper C . The m∠BAC is 46 degrees. The m angle upper B upper A upper C is 46 degrees. The m∠BAC is 92 degrees.

Answer 1

Since ray AC bisects ∠A, it divides the angle into two equal parts. Given that m∠BAD is 46 degrees, we know that m∠BAC is also equal to m∠DAC.

Thus, we can find m∠BAC by dividing m∠BAD by 2:

$$m\angle BAC=\frac{m\angle BAD}{2}=\frac{46°}{2}=23°.$$

Therefore, the correct answer is: The m∠BAC is 23 degrees.